Kilometer to Parsec Converter
Convert kilometers to parsecs with our free online length converter.
Quick Answer
1 Kilometer = 3.240756e-14 parsecs
Formula: Kilometer × conversion factor = Parsec
Use the calculator below for instant, accurate conversions.
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All conversion formulas on UnitsConverter.io have been verified against NIST (National Institute of Standards and Technology) guidelines and international SI standards. Our calculations are accurate to 10 decimal places for standard conversions and use arbitrary precision arithmetic for astronomical units.
Kilometer to Parsec Calculator
How to Use the Kilometer to Parsec Calculator:
- Enter the value you want to convert in the 'From' field (Kilometer).
- The converted value in Parsec will appear automatically in the 'To' field.
- Use the dropdown menus to select different units within the Length category.
- Click the swap button (⇌) to reverse the conversion direction.
How to Convert Kilometer to Parsec: Step-by-Step Guide
Converting Kilometer to Parsec involves multiplying the value by a specific conversion factor, as shown in the formula below.
Formula:
1 Kilometer = 3.2408e-14 parsecsExample Calculation:
Convert 10 kilometers: 10 × 3.2408e-14 = 3.2408e-13 parsecs
Disclaimer: For Reference Only
These conversion results are provided for informational purposes only. While we strive for accuracy, we make no guarantees regarding the precision of these results, especially for conversions involving extremely large or small numbers which may be subject to the inherent limitations of standard computer floating-point arithmetic.
Not for professional use. Results should be verified before use in any critical application. View our Terms of Service for more information.
Need to convert to other length units?
View all Length conversions →What is a Kilometer and a Parsec?
The kilometer is a unit of length in the International System of Units (SI), the modern form of the metric system. One kilometer equals exactly 1,000 meters by definition, making it a straightforward decimal multiple of the base SI length unit.
The kilometer is denoted by the symbol km (lowercase 'k', lowercase 'm'). The spelling varies by region: "kilometre" in British English and Commonwealth countries, "kilometer" in American English, though both refer to the same measurement.
The kilometer represents the standard distance unit for:
- Road distances and highway signage worldwide (except USA, Myanmar, Liberia)
- Geographic features: city separation, coastline length, river length
- Transportation: vehicle range, fuel efficiency (km/L or L/100km)
- Athletics: running and cycling race distances (5K, 10K, marathon)
- Aviation: visibility distances, some altitude references in certain countries
The metric system's decimal structure makes kilometer conversions simple:
- 1 kilometer = 1,000 meters (exactly)
- 1 kilometer = 100,000 centimeters
- 1 kilometer = 1,000,000 millimeters
- 1 meter = 0.001 kilometers
- 1 centimeter = 0.00001 kilometers
and Standards
Geometric Definition
The parsec is defined through trigonometric parallax:
1 parsec = the distance at which 1 astronomical unit (AU) subtends an angle of 1 arcsecond (1″)
Mathematically:
- 1 parsec = 1 AU / tan(1″)
- Since 1″ = 1/3600 degree = π/648,000 radians ≈ 4.8481 × 10⁻⁶ radians
- For small angles: tan(θ) ≈ θ (in radians)
- 1 parsec ≈ 1 AU / 4.8481 × 10⁻⁶ ≈ 206,265 AU
Exact IAU Value
The International Astronomical Union (IAU) defines the parsec exactly as:
1 parsec = 648,000/π AU ≈ 206,264.806247 AU
Using the IAU-defined astronomical unit (1 AU = 149,597,870,700 meters exactly as of 2012):
1 parsec = 30,856,775,814,913,673 meters (exactly)
Or approximately:
- 3.0857 × 10¹⁶ meters
- 30.857 trillion kilometers
- 19.174 trillion miles
Relationship to Light-Year
The light-year (distance light travels in one Julian year) relates to the parsec:
1 parsec ≈ 3.26156 light-years
More precisely: 1 pc = 3.261563777 ly (using Julian year of 365.25 days)
Standard Multiples
Kiloparsec (kpc): 1 kpc = 1,000 pc ≈ 3,262 ly
- Used for distances within galaxies
- Milky Way diameter: ~30 kpc
Megaparsec (Mpc): 1 Mpc = 1,000,000 pc ≈ 3.26 million ly
- Used for intergalactic distances
- Andromeda Galaxy: ~0.77 Mpc
Gigaparsec (Gpc): 1 Gpc = 1,000,000,000 pc ≈ 3.26 billion ly
- Used for cosmological distances
- Observable universe radius: ~14 Gpc
Note: The Kilometer is part of the metric (SI) system, primarily used globally in science and trade. The Parsec belongs to the imperial/US customary system.
History of the Kilometer and Parsec
The kilometer emerged during one of history's most ambitious standardization efforts—the creation of the metric system during the French Revolution.
Metric System Origins (1790s): In 1791, the French Academy of Sciences proposed a universal measurement system based on natural constants rather than arbitrary royal decrees. They defined the meter as one ten-millionth of the distance from the North Pole to the equator along the Paris meridian. For longer distances, they created the kilometer (from Greek khilioi = thousand, plus metron = measure).
Decimal Simplicity: Unlike traditional systems with complex conversions (5,280 feet per mile, 1,760 yards per mile), the metric system used consistent decimal relationships. This made the kilometer instantly comprehensible: 1 km = 1,000 m, with no fractional arithmetic required.
Global Adoption: The metric system spread rapidly throughout Europe in the early 1800s. Napoleon's conquests carried metric measurements across the continent. By the mid-19th century, most European nations had officially adopted kilometers for distance measurement.
International Treaty (1875): The Metre Convention, signed by 17 nations, established the International Bureau of Weights and Measures (BIPM) and made the metric system the international scientific standard. Kilometers became the globally recognized unit for geographic and travel distances.
Road Sign Conversion: Through the 20th century, country after country converted road signage from miles to kilometers:
- Germany: 1920s (early adopter)
- Japan: 1924
- France: Kilometers used since metric system creation (1795)
- Australia: 1974 (major conversion effort)
- Canada: 1977 (gradual conversion)
- United Kingdom: Still uses miles despite metric adoption elsewhere
- Ireland: 2005 (one of the last European conversions)
Modern Definition (1983): The meter was redefined based on the speed of light: the distance light travels in vacuum during 1/299,792,458 of a second. This made the kilometer precisely 299,792,458/299,792,458,000 of the distance light travels in one second, tying it to a fundamental physical constant rather than a physical artifact.
Global Standard: Today, approximately 195 of 198 countries use kilometers as their primary road distance measurement. Only the United States, Myanmar, and Liberia officially use miles, though Myanmar is gradually transitioning to metric. The kilometer has become effectively universal for international travel, trade, and communication.
and Evolution
Pre-Parsec Era: The Parallax Quest (1600s-1830s)
The concept of stellar parallax dates to ancient Greek astronomy, but detecting it required centuries of technological advancement.
Galileo Galilei (1610) suggested that if Earth orbits the Sun, nearby stars should show annual parallax shifts against distant background stars. No parallax was detected, leading geocentrists to argue Earth must be stationary.
James Bradley (1728) discovered stellar aberration (apparent star position shifts due to Earth's orbital motion combined with finite light speed), confirming Earth's motion but still failing to detect parallax—stars were simply too distant.
Friedrich Wilhelm Bessel achieved the first successful parallax measurement in 1838 for 61 Cygni, determining a distance of about 10.3 light-years (3.16 parsecs, though the term didn't exist yet). This triumph came using a heliometer—a split-lens telescope enabling precise angular measurements.
Thomas Henderson measured Alpha Centauri's parallax (1832-1833, published 1839), and Friedrich Struve measured Vega's (1837), establishing parallax as the fundamental distance measurement method.
Coining the Term (1913)
Herbert Hall Turner (1861-1930), British astronomer and director of Oxford University Observatory, coined "parsec" in 1913. Before this, astronomers expressed stellar distances awkwardly:
- In astronomical units (requiring numbers in the hundreds of thousands)
- In light-years (popular but not directly tied to measurement method)
- In "parallax seconds" (inverse of parallax angle, but confusing terminology)
Turner recognized that astronomers naturally thought in terms of parallax angles. For a star with parallax angle p (in arcseconds), the distance d is simply:
d (in parsecs) = 1 / p (in arcseconds)
This elegant relationship made the parsec immediately practical. A star with 0.5″ parallax is 2 parsecs away; 0.1″ parallax means 10 parsecs; 0.01″ parallax means 100 parsecs.
IAU Adoption (1922-1938)
The 1922 IAU General Assembly in Rome endorsed the parsec as the standard unit for stellar distances, though adoption wasn't immediate or universal.
The 1938 IAU General Assembly in Stockholm formally standardized the parsec definition based on the astronomical unit and arcsecond, solidifying its status.
By the 1950s, the parsec dominated professional astronomy literature, though popular science continued preferring light-years for general audiences.
Space Age Precision (1960s-Present)
Hipparcos satellite (1989-1993): European Space Agency mission measured parallaxes for 118,000 stars with milliarcsecond precision, extending reliable parsec-based distances to hundreds of parsecs.
Gaia mission (2013-present): ESA's Gaia spacecraft has revolutionized astrometry, measuring parallaxes for 1.8 billion stars with microarcsecond precision. This extends direct parsec measurements to 10,000+ parsecs (10+ kiloparsecs), mapping our galaxy's structure in unprecedented detail.
2012 IAU redefinition: The IAU redefined the astronomical unit as exactly 149,597,870,700 meters (no longer based on Earth's actual orbit, which varies slightly). This made the parsec exactly 648,000/π AU, providing a stable definition independent of Earth's orbital variations.
Common Uses and Applications: kilometers vs parsecs
Explore the typical applications for both Kilometer (metric) and Parsec (imperial/US) to understand their common contexts.
Common Uses for kilometers
International Road Travel and GPS
GPS navigation systems worldwide default to kilometers in metric countries. Drivers receive instructions like "In 2 kilometers, turn left" or "Your destination is 45 kilometers away." Trip computers display "distance to empty" in kilometers, helping drivers plan fuel stops.
Road atlases and mapping applications show distance scales in kilometers. Drivers estimate travel time using kilometers: "It's 300 km, so at 100 km/h average, that's 3 hours of driving" becomes intuitive mental math.
Highway interchanges number by kilometer markers in many countries. "Exit 245" means the exit is 245 km from the highway's starting point, making distance calculation simple: the gap between Exit 245 and Exit 310 is 65 km.
Public Transportation and Urban Transit
Metro, train, and bus systems describe route lengths and network extent in kilometers:
Urban Rail Systems:
- Tokyo Metro: 304 km of track, 179 stations
- London Underground: 402 km of track
- New York City Subway: 380 km of track
- Paris Métro: 226 km of track
High-Speed Rail:
- China high-speed network: 40,000+ km (world's largest)
- Europe high-speed: 11,000+ km network
- Japan Shinkansen: 3,000+ km
- Trains operate at 250-350 km/h
Commuters describe their journey: "I take the train 35 km to work" or "The metro line is 25 km end to end."
Logistics and Freight
Shipping companies calculate costs, routes, and delivery times in kilometers:
Trucking:
- Per-kilometer rates: €0.50-2.00 per km depending on cargo
- Driver limits: 500-900 km daily maximum (varying by regulations)
- Route optimization: Software minimizes total kilometers driven
Delivery Services:
- Local delivery: 0-50 km radius
- Regional delivery: 50-200 km
- National delivery: 200-1,000+ km
Supply Chain: "Warehouse is 150 km from port" or "Distribution center serves 200 km radius" inform logistics planning and inventory positioning.
Scientific and Environmental Research
Scientific studies report distances in kilometers:
Climate Science:
- Ice shelf extent: "Antarctic ice shelf extends 500 km from coast"
- Glacier retreat: "Glacier receded 5 km over past decade"
- Ocean currents: "Gulf Stream flows 10,000 km across Atlantic"
Geology:
- Fault lines: "San Andreas Fault extends 1,200 km through California"
- Volcanic reach: "Ash cloud spread 500 km from eruption"
Ecology:
- Animal migration: "Caribou migrate 5,000 km annually"
- Bird migration: "Arctic terns migrate 70,000 km round trip"
Sports and Recreation
Beyond running, many sports use kilometer measurements:
Hiking:
- Day hike: 5-20 km round trip
- Multi-day trek: 10-30 km per day
- Long-distance trails: Appalachian Trail 3,500 km, Pacific Crest Trail 4,300 km
Swimming:
- Open water races: 5 km, 10 km, 25 km
- English Channel: 34 km minimum straight-line distance (actual swim 40-50 km due to currents)
Skiing:
- Cross-country ski race: 10 km, 30 km, 50 km distances
- Ski resort terrain: "Resort has 150 km of marked runs"
Sailing:
- Yacht races: Sydney to Hobart 1,170 km, Volvo Ocean Race circumnavigates 72,000+ km
Agriculture and Land Management
Farms and land parcels measure in hectares, with distances in kilometers:
Farm Infrastructure:
- Irrigation canal: 10-50 km length serving agricultural region
- Fence line: "Property has 15 km of fencing"
- Farm roads: "30 km of internal roads"
Rural Distances:
- "Town is 25 km away"
- "Nearest hospital 60 km"
- "Property borders 2 km of river frontage"
Real Estate and Property
Property descriptions include kilometer proximity to amenities:
Location Descriptions:
- "5 km to city center"
- "2 km to nearest school"
- "15 km to international airport"
- "Within 1 km of public transport"
Commute Distance: Property values often correlate with kilometer distance from employment centers. "Within 10 km of downtown" commands premium pricing compared to "40 km from city center."
Emergency Services
Police, fire, and ambulance services track response distances and coverage areas in kilometers:
Response Zones:
- Ambulance coverage: Aim for < 8 km from any location
- Fire station spacing: 3-5 km apart in urban areas
- Police patrol areas: Officers cover 10-30 km² sectors
Response Times: "Average response time 8 minutes for locations within 5 km of station" guides emergency service planning.
Telecommunications and Utilities
Infrastructure planners measure network reach and service areas in kilometers:
Power Distribution:
- High-voltage transmission: Hundreds to thousands of km
- Distribution lines: 5-20 km from substation to customers
- Rural electrification: "Extended power 50 km to remote village"
Water Supply:
- Aqueduct: "200 km pipeline from reservoir to city"
- Distribution network: "City has 2,000 km of water mains"
Internet Infrastructure:
- "Fiber backbone runs 5,000 km across country"
- "Last-mile connections within 3 km of exchange"
When to Use parsecs
Stellar Astronomy and Parallax Measurements
The parsec's primary use is measuring stellar distances via trigonometric parallax:
Parallax formula: d (parsecs) = 1 / p (arcseconds)
Ground-based observatories: Measure parallaxes to ~0.01″ accuracy, reliable to ~100 pc
Hipparcos satellite: Measured parallaxes to ~0.001″ (1 milliarcsecond), reliable to ~1,000 pc (1 kpc)
Gaia spacecraft: Measures parallaxes to ~0.00001″ (10 microarcseconds) for bright stars, reliable to ~10 kpc for many stars
Applications:
- Calibrating the cosmic distance ladder (using Cepheid variables, RR Lyrae stars)
- Determining absolute magnitudes of stars
- Studying stellar populations and galactic structure
- Measuring proper motions and space velocities
Galactic Structure and Dynamics
Kiloparsecs (kpc) describe structures within galaxies:
Milky Way structure:
- Galactic center (Sagittarius A*): 8.2 kpc from Sun
- Galactic disk radius: ~15 kpc
- Central bulge: ~1.5 kpc radius
- Spiral arms: trace patterns 10-15 kpc in radius
- Dark matter halo: extends to ~60 kpc
Rotation curves: Plot orbital velocity vs. distance (in kpc) from galactic center, revealing dark matter
Star formation regions: Giant molecular clouds span 10-100 pc
Globular clusters: Orbit 10-60 kpc from galactic center
Extragalactic Astronomy
Megaparsecs (Mpc) measure distances between galaxies:
Galaxy surveys: Map millions of galaxies to distances of 1,000+ Mpc, revealing large-scale structure (walls, filaments, voids)
Tully-Fisher relation: Links galaxy rotation speed to luminosity, enabling distance estimates in Mpc
Type Ia supernovae: Standard candles for measuring distances to 1,000+ Mpc
Galaxy clusters: Typical separation between major clusters ~10-50 Mpc
Superclusters: Structures spanning 100-200 Mpc (like Laniakea Supercluster containing Milky Way)
Cosmology and Universe Expansion
Megaparsecs and gigaparsecs describe cosmological distances:
Hubble constant (H₀): Measured in km/s per Mpc—describes universe expansion rate
- Current value: H₀ ≈ 67-73 (km/s)/Mpc (tension between measurement methods)
- Interpretation: Galaxy 1 Mpc away recedes at ~70 km/s; 100 Mpc away recedes at ~7,000 km/s
Hubble's Law: v = H₀ × d (where d is in Mpc, v is recession velocity)
Comoving distance: Cosmological distance accounting for universe expansion, measured in Mpc or Gpc
Redshift surveys: Map galaxy distribution to 1,000+ Mpc (z ~ 0.1-0.3 redshift)
Baryon acoustic oscillations: ~150 Mpc characteristic scale in galaxy distribution, used as "standard ruler"
Astrophysical Research Papers
Parsecs are the default distance unit in professional astronomy journals:
Observational papers: Report star/galaxy distances in pc, kpc, or Mpc
Theoretical models: Express scale lengths in parsecs (e.g., "disk scale length of 3 kpc")
Computer simulations: Use parsec-based units (or comoving kpc/Mpc for cosmological sims)
Standard convention: Professional astronomers think and calculate in parsecs, converting to light-years only for public communication
Additional Unit Information
About Kilometer (km)
How many meters are in a kilometer?
There are exactly 1,000 meters in 1 kilometer. This relationship is definitional—the prefix "kilo-" means 1,000 in the metric system.
Converting kilometers to meters: Multiply by 1,000
- 1 km = 1,000 m
- 2.5 km = 2,500 m
- 0.5 km = 500 m
- 10 km = 10,000 m
Converting meters to kilometers: Divide by 1,000
- 1,500 m = 1.5 km
- 5,000 m = 5 km
- 500 m = 0.5 km
- 42,195 m = 42.195 km (marathon distance)
The metric system's decimal structure makes these conversions simple—just move the decimal point three places.
How many kilometers are in a mile?
One mile equals exactly 1.609344 kilometers. This conversion factor was established through the 1959 international yard and pound agreement, which defined the yard (and thus the mile) in terms of meters.
Quick conversions:
- 1 mile = 1.609 km
- 5 miles = 8.047 km
- 10 miles = 16.093 km
- 26.2 miles (marathon) = 42.195 km
Reverse conversion: 1 kilometer = 0.621371 miles
- 1 km ≈ 0.62 miles (about 5/8 of a mile)
- 5 km = 3.107 miles
- 10 km = 6.214 miles
- 100 km = 62.137 miles
Mental approximation: For rough estimates, remember "5 miles ≈ 8 km" or "8 km ≈ 5 miles." This Fibonacci-pair approximation gives about 1% accuracy and is easy to remember. More roughly, "1 mile ≈ 1.6 km" works for casual conversion.
What does 'kilo' mean in kilometer?
The prefix "kilo-" means one thousand (1,000). It derives from the Greek word khilioi, meaning thousand.
In the metric system, "kilo-" consistently indicates multiplication by 1,000:
- 1 kilometer (km) = 1,000 meters
- 1 kilogram (kg) = 1,000 grams
- 1 kiloliter (kL) = 1,000 liters
- 1 kilobyte (kB) = 1,000 bytes (in decimal notation)
- 1 kilowatt (kW) = 1,000 watts
This consistent prefix system makes the metric system easy to learn. Once you know "kilo = 1,000," you can understand any kilo- measurement immediately.
Other common metric prefixes:
- Mega- (M) = 1,000,000 (million)
- Kilo- (k) = 1,000 (thousand)
- Hecto- (h) = 100 (hundred)
- Deca- (da) = 10 (ten)
- Deci- (d) = 0.1 (tenth)
- Centi- (c) = 0.01 (hundredth)
- Milli- (m) = 0.001 (thousandth)
Is a kilometer longer or shorter than a mile?
A kilometer is shorter than a mile. One mile equals approximately 1.61 kilometers, making a mile about 61% longer than a kilometer.
Comparison:
- 1 mile = 1.609344 km
- 1 km = 0.621371 miles
Practical comparison:
- 5K race = 3.11 miles (shorter than 5 miles)
- 10K race = 6.21 miles (shorter than 10 miles)
- 100 km = 62.1 miles (significantly shorter than 100 miles)
Mental shortcut: Think "kilometers are smaller, so you need more of them." To cover the same distance:
- 100 miles requires 161 kilometers
- 100 kilometers equals only 62 miles
This difference matters when traveling internationally. A road sign showing "Paris 100 km" means about 62 miles—much closer than "100 miles" would be. Speed limits work the same way: "100 km/h" equals about 62 mph, considerably slower than "100 mph."
Why does most of the world use kilometers instead of miles?
Approximately 195 of 198 countries use kilometers because the metric system is simpler, more logical, and internationally standardized. Only the United States, Myanmar, and Liberia officially use miles, with Myanmar gradually transitioning to metric.
Decimal Simplicity: The metric system uses consistent base-10 relationships:
- 1 km = 1,000 m (easy conversion)
- Compare to: 1 mile = 1,760 yards = 5,280 feet (complex conversion)
Children in metric countries learn one simple rule: move the decimal point. American children must memorize: 12 inches per foot, 3 feet per yard, 1,760 yards per mile.
International Trade: The Metre Convention (1875) established metric as the international scientific and commercial standard. Countries adopting metric gained advantages in international trade, scientific collaboration, and technical documentation.
Post-Colonial Transitions: Former British colonies gradually converted from imperial to metric:
- Australia: 1970s
- Canada: 1970s-1980s (though some imperial usage persists)
- India: 1950s-1960s
- South Africa: 1970s
Only the United Kingdom retained miles for road signage despite otherwise adopting metric.
US Resistance: America resisted conversion due to:
- Massive infrastructure costs (replacing millions of road signs)
- Public opposition (polls show Americans prefer familiar units)
- No perceived benefit justifying disruption and expense
- "Metric Conversion Act" of 1975 made metric voluntary, not mandatory
Scientific Reality: Even the US uses metric in science, medicine, and military. The paradox: US scientists publish in metric while consumers shop in imperial.
How do you convert speed from mph to km/h?
To convert miles per hour (mph) to kilometers per hour (km/h), multiply by 1.609344. This gives exact results.
Formula: km/h = mph × 1.609344
Common speed conversions:
- 30 mph = 48.3 km/h (urban speed limit)
- 55 mph = 88.5 km/h (rural highway)
- 60 mph = 96.6 km/h (≈100 km/h common highway limit)
- 70 mph = 112.7 km/h
- 75 mph = 120.7 km/h
- 80 mph = 128.7 km/h
Reverse conversion (km/h to mph): Divide by 1.609344, or multiply by 0.621371
- 50 km/h = 31.1 mph (urban limit in metric countries)
- 90 km/h = 55.9 mph (rural road)
- 100 km/h = 62.1 mph (common highway limit)
- 110 km/h = 68.3 mph
- 120 km/h = 74.6 mph
- 130 km/h = 80.8 mph (German autobahn advisory speed)
Mental approximation: Multiply mph by 1.6 for quick estimates:
- 60 mph × 1.6 ≈ 96 km/h (actual: 96.6, very close)
- 70 mph × 1.6 ≈ 112 km/h (actual: 112.7, very close)
Or divide km/h by 1.6 for reverse estimate:
- 100 km/h ÷ 1.6 ≈ 62.5 mph (actual: 62.1, close enough)
Why it matters: Tourists driving in foreign countries must convert speed limits mentally to avoid speeding tickets. Rental cars may show speedometers in only one unit, requiring constant mental conversion.
What's the difference between km and km²?
Kilometers (km) measure linear distance in one dimension—how far apart two points are, or how long something stretches.
Square kilometers (km²) measure area in two dimensions—how much surface space something covers.
Linear distance (km):
- Road distance: "Paris is 100 km from here"
- Running race: "10 km race"
- River length: "Danube River is 2,850 km long"
- Border: "3,000 km border with neighboring country"
Area (km²):
- City size: "Paris covers 105 km²"
- Country size: "France has an area of 640,000 km²"
- Lake surface: "Lake Geneva covers 580 km²"
- Forest: "National park protects 1,200 km² of wilderness"
The math:
- Multiplying two distances creates area: 10 km × 5 km = 50 km²
- 1 km² = 1,000,000 m² = 100 hectares
- A square with 1 km sides has area of 1 km²
- A square with 10 km sides has area of 100 km² (not 10 km!)
Common confusion: "The city is 50 km" is incomplete—50 km in which direction? Better: "The city center is 50 km away" (linear distance) or "The city covers 200 km²" (area).
How far is a 5K race in miles?
A 5K race is 3.107 miles. The "K" in "5K" stands for kilometers, so 5K means 5 kilometers.
Exact conversion: 5 km × 0.621371 miles/km = 3.10686 miles ≈ 3.11 miles
For practical purposes: 5K ≈ 3.1 miles (slightly over 3 miles)
Common running distances:
- 5K: 5 km = 3.11 miles (popular beginner race distance)
- 10K: 10 km = 6.21 miles (popular intermediate distance)
- 15K: 15 km = 9.32 miles
- Half-marathon: 21.0975 km = 13.11 miles (exactly half of marathon)
- Marathon: 42.195 km = 26.219 miles
- 50K: 50 km = 31.07 miles (ultramarathon)
- 100K: 100 km = 62.14 miles (ultramarathon)
Why "K" notation? Running races worldwide use kilometer distances even in countries that otherwise use miles (like the US). This creates universal race standards—a 5K is the same distance whether run in New York, Paris, or Tokyo. The "K" abbreviation became standard running terminology.
Pace conversion: A runner completing 5K in 25 minutes averages:
- 5:00 per kilometer (25 minutes ÷ 5 km)
- 8:03 per mile (25 minutes ÷ 3.107 miles)
How do you calculate distance on a map with a kilometer scale?
Map scales show how many kilometers in the real world correspond to a unit distance on the map. Common map scales for road maps use kilometers.
Common scale notations:
- 1:100,000 means 1 cm on map = 100,000 cm (1 km) in reality
- 1:250,000 means 1 cm on map = 250,000 cm (2.5 km) in reality
- 1:50,000 means 1 cm on map = 50,000 cm (0.5 km or 500 m) in reality
Using the graphic scale: Most maps include a graphic scale bar showing distances directly:
|——————|
0 50 100 km
Measuring distance:
- Use a ruler or string to measure the map distance
- Compare to the scale bar or use the ratio
- Calculate actual distance
Example: On a 1:100,000 scale map:
- Measure 5 cm between two cities
- 5 cm × 1 km/cm = 5 km actual distance
For curved routes (roads, rivers): Lay a string along the curved path, then measure the string length against the scale.
Digital maps: Online mapping tools calculate distances automatically, displaying both kilometers and miles. Google Maps, for instance, shows "15 km" or "9.3 mi" depending on regional settings.
What's the origin of the marathon distance 42.195 kilometers?
The marathon distance of 42.195 kilometers (26 miles, 385 yards) has a fascinating history combining ancient legend with modern royal preference.
Ancient Legend: The marathon commemorates the run of Greek soldier Pheidippides, who allegedly ran from the Battle of Marathon to Athens (about 40 km) to announce victory over Persia in 490 BCE, then died from exhaustion. This legend inspired the modern marathon race.
Original Olympic Distance (1896-1908): Early Olympic marathons varied in distance, roughly 40 km but not standardized. Different Olympic marathons measured 40 km (1896 Athens), 40.26 km (1900 Paris), 41.86 km (1904 St. Louis), 40 km (1906 Athens).
1908 London Olympics—The Defining Race: The modern distance was set for the 1908 London Olympics. The race began at Windsor Castle and finished at the Olympic Stadium. Originally planned as 26 miles, an extra 385 yards was added so the race would finish directly in front of the royal box where Queen Alexandra sat.
Total distance: 26 miles + 385 yards = 26.219 miles = 42.195 kilometers
Standardization (1921): The International Amateur Athletic Federation (IAAF) officially adopted 42.195 km as the standard marathon distance in 1921, codifying the 1908 London course distance for all future marathons.
Modern Usage: Every certified marathon worldwide measures exactly 42.195 kilometers (or 26 miles 385 yards). Famous marathons—Boston, New York City, London, Berlin, Tokyo—all use this precise distance. Race courses must be certified to ensure accuracy, typically measured using calibrated bicycle wheels.
Half-Marathon: Exactly half of 42.195 km = 21.0975 km (13.1 miles), also standardized for half-marathon races worldwide.
About Parsec (pc)
What does "parsec" stand for?
Parsec is a portmanteau of "parallax of one arcsecond."
It represents the distance at which Earth's orbital radius (1 AU) subtends an angle of exactly one arcsecond (1/3600 of a degree). British astronomer Herbert Hall Turner coined the term in 1913 to provide a convenient unit directly tied to the parallax measurement method.
How is a parsec measured?
Parsecs are measured using trigonometric parallax:
- Observe a nearby star from Earth when Earth is on one side of its orbit
- Observe the same star six months later when Earth is on the opposite side
- Measure the apparent shift in the star's position against distant background stars
- Half this shift is the parallax angle p (in arcseconds)
- Calculate distance: d = 1/p parsecs
Modern method: Space telescopes like Gaia measure parallax angles with microarcsecond precision, enabling distance measurements to thousands of parsecs.
Is a parsec bigger than a light-year?
Yes, one parsec is significantly larger:
1 parsec ≈ 3.26 light-years
More precisely: 1 pc = 3.261563777 ly
Example: Proxima Centauri at 1.3 parsecs equals 4.24 light-years away.
Why the difference matters: Confusing parsecs with light-years introduces 3× error in distances.
Why do astronomers prefer parsecs over light-years?
Astronomers prefer parsecs for several reasons:
1. Direct observational connection: Parallax angle p (arcseconds) directly gives distance d = 1/p (parsecs). No complicated conversion needed.
2. Professional standard: IAU endorsed parsecs in 1922; they're now universal in research papers and textbooks.
3. Convenient multiples: Kiloparsecs (kpc) for galactic distances, megaparsecs (Mpc) for cosmological distances provide natural scales.
4. Hubble constant units: Universe expansion rate naturally expressed in (km/s)/Mpc.
5. Definition stability: Light-year depends on year length definition (tropical, Julian, sidereal); parsec defined purely by geometry.
Light-years remain popular in public communication because "year" is familiar, while "parallax arcsecond" requires technical knowledge.
How many astronomical units are in a parsec?
1 parsec = 206,265 astronomical units (AU) (approximately)
More precisely: 1 pc = 206,264.806247 AU
This number arises from: 1 pc = 1 AU / tan(1″), and since 1″ = π/648,000 radians:
- 1 pc = 1 AU / (π/648,000) = 648,000/π AU ≈ 206,265 AU
Context: Since 1 AU ≈ 150 million km (Earth-Sun distance), 1 parsec ≈ 31 trillion km.
What is a kiloparsec and megaparsec?
Kiloparsec (kpc): 1 kpc = 1,000 parsecs ≈ 3,262 light-years
- Used for: Galactic-scale distances
- Examples: Sun to Milky Way center (8 kpc), galaxy diameters (10-50 kpc)
Megaparsec (Mpc): 1 Mpc = 1,000,000 parsecs ≈ 3.26 million light-years
- Used for: Intergalactic distances, cosmology
- Examples: Andromeda Galaxy (0.77 Mpc), Virgo Cluster (16.5 Mpc), Hubble constant measured in (km/s)/Mpc
Gigaparsec (Gpc): 1 Gpc = 1,000,000,000 parsecs ≈ 3.26 billion light-years
- Used for: Large-scale cosmological structures
- Example: Observable universe radius (~14 Gpc)
Is the parsec an SI unit?
No, the parsec is not an SI unit. The SI unit of length is the meter (m).
However, the parsec is:
- Recognized by the IAU (International Astronomical Union)
- Accepted for use with SI in astronomy contexts
- Defined exactly in terms of the AU (which is defined exactly in meters)
Why not SI?: The parsec arose naturally from astronomical practice and remains far more practical than expressing stellar distances in meters (which would require numbers like 10¹⁶ to 10²³).
Analogy: Like the electronvolt (eV) in particle physics, the parsec is a specialized unit indispensable to its field despite not being SI.
How far can parallax measure distances?
Ground-based telescopes: ~0.01 arcsecond precision → reliable to ~100 parsecs
Hubble Space Telescope: ~0.001 arcsecond (1 milliarcsecond) → reliable to ~1,000 parsecs (1 kpc)
Hipparcos satellite (1989-1993): ~0.001 arcsecond → 118,000 stars measured to 100-1,000 pc
Gaia spacecraft (2013-present): ~0.00001 arcsecond (10 microarcseconds) for bright stars → reliable to ~10,000 parsecs (10 kpc)
- Measured 1.8 billion stars
- Revolutionary precision enables mapping entire Milky Way disk
Fundamental limit: Stars beyond 10-20 kpc have unmeasurably small parallaxes with current technology. For greater distances, astronomers use indirect methods (Cepheids, Type Ia supernovae, redshift).
Did Han Solo make the Kessel Run in "less than 12 parsecs"?
Famous Star Wars quote: "She made the Kessel Run in less than twelve parsecs."
The issue: Parsec measures distance, not time. Saying "less than 12 parsecs" for a speed achievement is like saying "I drove to work in less than 5 miles."
Fan explanations (retroactive justifications):
- The Kessel Run involves navigating near black holes; a shorter distance means a more dangerous, direct route
- Skilled pilots can shave distance by flying closer to gravitational hazards
- This reinterprets "12 parsecs" as boasting about route optimization, not speed
Real answer: George Lucas likely confused parsecs with a time unit when writing the script. The line became famous enough that later writers invented explanations making it technically correct.
Takeaway: In real astronomy, parsecs always measure distance, never time.
How do parsecs relate to the Hubble constant?
The Hubble constant (H₀) describes universe expansion and is typically expressed as:
H₀ ≈ 70 (km/s)/Mpc
Interpretation: For every megaparsec of distance, recession velocity increases by ~70 km/s.
Examples using Hubble's Law (v = H₀ × d):
- Galaxy 1 Mpc away: recedes at ~70 km/s
- Galaxy 10 Mpc away: recedes at ~700 km/s
- Galaxy 100 Mpc away: recedes at ~7,000 km/s
- Galaxy 1,000 Mpc away: recedes at ~70,000 km/s
Hubble length: c/H₀ ≈ 4,400 Mpc (14.4 billion ly) - characteristic distance scale of observable universe
Why Mpc?: Using megaparsecs keeps Hubble constant values convenient (70 rather than 0.000000000070 if using parsecs, or 2.3 × 10⁻¹⁸ if using SI meters).
What's the farthest distance ever measured in parsecs?
Observable universe radius: ~14,000 Mpc = 14 Gpc (46 billion light-years comoving distance)
Most distant galaxy observed (as of 2023): JADES-GS-z13-0 at redshift z ≈ 13.2
- Comoving distance: ~4,200 Mpc (13.7 billion light-years light-travel distance)
- Due to universe expansion, it's now ~10,000 Mpc (32 billion light-years) away
Cosmic microwave background: Emitted 380,000 years after Big Bang
- Comoving distance to CMB surface: ~14,000 Mpc (46 billion light-years)
Beyond measurement: The observable universe has a finite size (~14 Gpc radius) due to finite age and light speed. Objects beyond this "cosmological horizon" are unobservable because their light hasn't reached us yet.
Conversion Table: Kilometer to Parsec
| Kilometer (km) | Parsec (pc) |
|---|---|
| 0.5 | 0 |
| 1 | 0 |
| 1.5 | 0 |
| 2 | 0 |
| 5 | 0 |
| 10 | 0 |
| 25 | 0 |
| 50 | 0 |
| 100 | 0 |
| 250 | 0 |
| 500 | 0 |
| 1,000 | 0 |
People Also Ask
How do I convert Kilometer to Parsec?
To convert Kilometer to Parsec, enter the value in Kilometer in the calculator above. The conversion will happen automatically. Use our free online converter for instant and accurate results. You can also visit our length converter page to convert between other units in this category.
Learn more →What is the conversion factor from Kilometer to Parsec?
The conversion factor depends on the specific relationship between Kilometer and Parsec. You can find the exact conversion formula and factor on this page. Our calculator handles all calculations automatically. See the conversion table above for common values.
Can I convert Parsec back to Kilometer?
Yes! You can easily convert Parsec back to Kilometer by using the swap button (⇌) in the calculator above, or by visiting our Parsec to Kilometer converter page. You can also explore other length conversions on our category page.
Learn more →What are common uses for Kilometer and Parsec?
Kilometer and Parsec are both standard units used in length measurements. They are commonly used in various applications including engineering, construction, cooking, and scientific research. Browse our length converter for more conversion options.
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Last verified: December 3, 2025