Square Yard to Square Kilometer Converter
Convert square yards to square kilometers with our free online area converter.
Quick Answer
1 Square Yard = 8.361274e-7 square kilometers
Formula: Square Yard × conversion factor = Square Kilometer
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.
Square Yard to Square Kilometer Calculator
How to Use the Square Yard to Square Kilometer Calculator:
- Enter the value you want to convert in the 'From' field (Square Yard).
- The converted value in Square Kilometer will appear automatically in the 'To' field.
- Use the dropdown menus to select different units within the Area category.
- Click the swap button (⇌) to reverse the conversion direction.
How to Convert Square Yard to Square Kilometer: Step-by-Step Guide
Converting Square Yard to Square Kilometer involves multiplying the value by a specific conversion factor, as shown in the formula below.
Formula:
1 Square Yard = 8.3613e-7 square kilometersExample Calculation:
Convert 10 square yards: 10 × 8.3613e-7 = 8.3613e-6 square kilometers
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 area units?
View all Area conversions →What is a Square Yard and a Square Kilometer?
and Standards
Mathematical Definition
The square yard (symbol: yd², alternative: sq yd) is a unit of area in the Imperial and US Customary systems, defined as:
The area of a square whose sides each measure exactly one yard in length.
Formula: $$ 1 \text{ yd}^2 = 1 \text{ yard} \times 1 \text{ yard} $$
Fundamental Relationships
Within the Imperial/US System:
- 1 yard = 3 feet (ft) = 36 inches (in)
- 1 yd² = (3 ft)² = 9 square feet (ft²)
- 1 yd² = (36 in)² = 1,296 square inches (in²)
- 4,840 yd² = 1 acre (ac)
- 3,097,600 yd² = 1 square mile (mi²)
The 9:1 Ratio: The 9 square feet per square yard relationship is fundamental for conversions:
- 1 yd² = 9 ft² (1:9 ratio)
- 10 yd² = 90 ft²
- 100 yd² = 900 ft²
Metric Conversions (Exact):
Based on the 1959 International Yard and Pound Agreement:
- 1 yard = 0.9144 meters (exactly)
- 1 yd² = (0.9144 m)² = 0.83612736 m² (exactly)
Practical Metric Conversions:
- 1 yd² ≈ 0.836 m² (rounded)
- 1 yd² = 8,361.27 square centimeters (cm²)
- 1 m² = 1.196 yd² (inverse)
Visual Representation
A perfect square yard:
- Each side: 3 feet = 36 inches = 0.914 meters
- Perimeter: 4 yards = 12 feet = 144 inches
- Diagonal: 1.414 yards = 4.243 feet
How big is it?
- About the size of a small dining table
- Large beach towel laid flat
- Small area rug
- Three standard floor tiles (12" × 12" each)
The Square Kilometer (symbol: km² or sq km) is a multiple of the square meter (m²), the base unit of area in the International System of Units (SI). It represents the area of a square whose sides measure exactly one kilometer (km) in length.
Key relationships:
- 1 km² = 1 kilometer × 1 kilometer
- 1 km = 1,000 meters (m)
- Therefore, 1 km² = (1,000 m) × (1,000 m) = 1,000,000 square meters (m²)
- 1 km² = 100 hectares (ha) (since 1 hectare = 10,000 m²)
In terms of imperial/US customary units:
- 1 km² ≈ 0.3861 square miles (mi²) - Convert km² to mi²
- 1 km² ≈ 247.1 acres (ac) - Convert km² to acres
- 1 km² ≈ 10,763,910 square feet (ft²)
Visual perspective:
- 1 km² = 100 football fields (American)
- 1 km² = ~150 soccer fields
- 1 km² = Walking distance of about 1 km × 1 km
- 10 km² = Typical small town
- 100 km² = Medium-sized city
- 1,000 km² = Large metropolitan area
Convert between area units: Square kilometer converter
Note: The Square Yard is part of the imperial/US customary system, primarily used in the US, UK, and Canada for everyday measurements. The Square Kilometer belongs to the metric (SI) system.
History of the Square Yard and Square Kilometer
and Evolution
The Yard: Medieval Origins
The square yard's history is inseparable from the yard itself.
Uncertain Etymology: Multiple theories exist for the yard's origin:
Theory 1: Royal Arm Span
- Legend: King Henry I (1100-1135) defined the yard as the distance from his nose to the tip of his outstretched thumb
- Similar to the "ell" (elbow to fingertip)
- Problem: This would vary by person
Theory 2: Double Cubit
- Ancient cubit = elbow to middle fingertip (≈18 inches)
- 2 cubits = 36 inches = 1 yard
- Used in ancient Mediterranean civilizations
Theory 3: Stride Length
- Average adult stride ≈ 30-36 inches
- Convenient for measuring distances while walking
Theory 4: Germanic Rod
- Germanic "gerd" or "yard" = stick/rod
- Standard measuring sticks cut to consistent length
- Used in medieval commerce
Early Variations:
- English yard: 36 inches (by 1300s)
- Scottish yard: 37.06 inches
- Flemish yard: 27.07 inches
- Variations caused trade disputes
English Standardization (1200s-1800s)
1266: Assize of Bread and Ale
- Attempted to standardize weights and measures across England
- Mentioned the "yard of our Lord the King"
- Physical iron yard bar kept at Westminster
1305: Edward I's Standards
- "Three barleycorns, round and dry, make an inch"
- "12 inches make a foot"
- "3 feet make a yard"
- First clear legal definition
1588: Elizabeth I
- Reaffirmed the yard standard
- Yard bar kept in the Tower of London
1824: Weights and Measures Act
- Defined the Imperial Yard formally
- Bronze yard bar created as the physical standard
- Square yard implicitly defined as (yard)²
1855: Fire at Palace of Westminster
- Original bronze yard bar destroyed in fire
- New standards created from surviving copies
- Reminder of importance of multiple reference copies
The Square Yard in Commerce (1600s-1900s)
Textile Industry:
- Fabric traditionally sold by the yard (length)
- Width varied: 36" (1 yard), 45", 54", 60"
- Square yard used for pricing upholstery and carpet
Carpet Trade:
- Most carpets woven in 36" (1 yard) widths
- Pricing naturally in yards × yards = square yards
- Convention persists to this day in US/UK
Landscaping:
- Garden plots measured in square yards
- Easier than large square foot numbers
- Smaller than acres for residential lots
International Yard Agreement (1959)
The Problem:
- US yard: 3600/3937 meters (from 1893 Mendenhall Order)
- UK yard: slightly different due to temperature coefficient of bronze bar
- Difference: ~2 parts per million
- Problematic for international engineering
The Solution (July 1, 1959):
- US, UK, Canada, Australia, New Zealand, South Africa agreed
- 1 yard = 0.9144 meters exactly
- 1 square yard = 0.83612736 m² exactly
Impact:
- Simplified international trade
- Engineering drawings could use consistent units
- Scientific cooperation enhanced
US Survey Yard Exception:
- US kept "US survey yard" for existing land records
- 1 survey yard = 3600/3937 m (slightly different)
- Difference negligible for small areas
- Matters for large surveys (cumulative error)
Modern Era: Decline and Persistence (1960-Present)
Metric Adoption:
- 1965: UK began metrication
- 1970s: Square meters replace square yards in UK construction
- 1980s-1990s: Most Commonwealth countries fully metricated
US Resistance:
- Square yard still standard for carpet and fabric retail
- Square feet preferred for real estate
- Square yards remain in landscaping materials
Current Usage:
- United States: Carpet, fabric, sod, mulch pricing
- United Kingdom: Legacy use in carpet shops, older buildings
- Canada: Mostly metric, but carpet shops may use yd²
- Australia/New Zealand: Fully metric (m²)
-
Origin: The square kilometer is derived directly from the kilometer, a unit of length introduced as part of the metric system, which was developed in France during the late 18th century (1790s).
-
Metric System Adoption: The metric system, including the meter and its multiples like the kilometer, was created to provide a standardized, decimal-based system of measurement to replace the chaotic local units of pre-revolutionary France.
-
Natural Evolution: As nations began adopting the metric system throughout the 19th and 20th centuries, the square kilometer naturally became the standard unit for expressing large geographical areas - countries, regions, cities, lakes, and forests.
-
International Standardization: The need for a universal unit for geographical measurement became critical as:
- World maps and atlases were standardized
- International treaties needed land area specifications
- Global trade required consistent land measurements
- Scientific exploration needed standard area units
-
SI Standard: The International System of Units (SI), formally established in 1960, confirmed the square meter (m²) as the base unit of area. The square kilometer is a widely accepted and commonly used multiple of this base unit, consistent with SI prefixes (kilo = 1,000).
-
Global Usage Today: The square kilometer is now the predominant unit used worldwide for measuring:
- Land area of countries and territories
- Surface area of continents and islands
- Size of administrative divisions (states, provinces, counties)
- Area of cities and metropolitan regions
- Size of bodies of water (lakes, seas)
- Extent of forests, deserts, and ecosystems
- National parks and protected areas
-
Note on spelling: "Kilometer" (US) and "kilometre" (UK/International) both produce "square kilometer" and "square kilometre" respectively, both referring to the same unit: 1,000,000 m².
Common Uses and Applications: square yards vs square kilometers
Explore the typical applications for both Square Yard (imperial/US) and Square Kilometer (metric) to understand their common contexts.
Common Uses for square yards
Across Industries
1. Flooring and Carpet Industry
Why Square Yards?
- Historical standard from when carpet was 36" (1 yard) wide
- Industry convention persists in US and UK
- Easier than large square foot numbers
Ordering Process:
- Measure room in feet
- Convert to square yards (÷9)
- Add 10-15% for waste
- Calculate seams based on carpet width
Pricing Structure:
- Material cost: $ per yd²
- Padding: $ per yd²
- Installation: $ per yd²
- Total: sum of all per-yd² costs
2. Textile and Fabric Sales
Linear Yards vs Square Yards:
- Linear yard: 1 yard long × fabric width
- Square yard: Actual 1 yd × 1 yd area
- Most fabric sold by linear yard
- Leather and specialty materials sold by square yard
Width Conversions:
- 44" wide fabric: 1 linear yard = 1.22 yd²
- 54" wide fabric: 1 linear yard = 1.5 yd²
- 60" wide fabric: 1 linear yard = 1.67 yd²
3. Landscaping and Lawn Care
Material Estimating:
- Sod: price per yd², ordered by yd²
- Mulch/topsoil: sold by cubic yard, coverage in yd²
- Grass seed: coverage per 1,000 ft² (111 yd²)
- Fertilizer: same coverage rating
Professional Estimates:
- Measure lawn/garden in square feet
- Convert to square yards for pricing
- Quote in whichever unit customer prefers
4. Construction and Contractors
Estimating:
- Some contractors prefer square yards for medium areas
- Easier mental math than large ft² numbers
- Example: 900 ft² = 100 yd² (simpler number)
Material Quantities:
- Concrete: often ordered in cubic yards
- Coverage calculated: yd² × depth = cubic yards
5. Real Estate (Historical)
Older Property Records:
- Pre-1950s property descriptions may use yd²
- Modern practice uses square feet or acres
- Understanding yd² necessary for historical research
When to Use square kilometers
The square kilometer is the international standard for measuring large-scale areas:
Geography and Cartography
The standard unit for stating land or surface area of countries, continents, large islands, administrative divisions (states, provinces), and major cities.
Geographic Applications:
- Country and territory sizes
- Continental land masses
- Island and archipelago areas
- Administrative boundaries
- Political divisions
- City and metropolitan areas
Why it's universal:
- Standardized for international comparison
- Used in atlases, maps, and geographic databases
- Required for official government statistics
- Essential for treaties and agreements
Convert for international comparisons
Demography
Essential for calculating population density, typically expressed as inhabitants per square kilometer (people/km²). This is the international standard for comparing population distribution.
Population Density Uses:
- Comparing urban vs rural population spread
- Planning infrastructure needs
- Resource allocation per capita
- Understanding settlement patterns
- Environmental impact assessment
Formula: Population Density = Total Population ÷ Area (km²)
Example: Japan has 333 people/km², while Canada has only 4 people/km²
Environmental Science
Measuring the extent of large ecosystems, national parks, conservation areas, watersheds, ice sheets, deforestation, and environmental impacts.
Environmental Applications:
- Forest monitoring: Amazon = 5.5 million km²
- Deforestation tracking: Loss measured in km²/year
- Protected areas: Park sizes, marine reserves
- Ice sheet coverage: Antarctic ice = 14 million km²
- Disaster areas: Flood extent, wildfire spread, oil spill coverage
- Habitat mapping: Species range and distribution
Climate Research:
- Sea ice extent (measured seasonally in km²)
- Glacier coverage changes
- Desert expansion/contraction
- Vegetation cover changes
Use our square kilometer converter for environmental calculations.
Urban Planning and Land Management
Quantifying large zones, districts, or total city area in regional planning, metropolitan development, and land use management.
Urban Applications:
- City boundaries and total area
- Metropolitan area extent
- Urban sprawl measurement
- Zoning district sizes
- Green space allocation
- Development planning
Regional Planning:
- Transportation networks
- Utility coverage areas
- Emergency service zones
- School district boundaries
- Municipal service areas
Geology and Planetary Science
Measuring the surface area of large geological formations or the surface areas of planets, moons, and asteroids.
Geological Features:
- Volcanic fields
- Impact craters
- Lava flow areas
- Tectonic plate coverage
- Mineral deposit areas
Planetary Measurements:
- Earth surface: 510 million km²
- Mars surface: 145 million km²
- Moon surface: 38 million km²
- Crater sizes on planets/moons
Military and Logistics
Defining large operational areas, zones, and territories for defense, operations planning, and strategic analysis.
Military Applications:
- Theater of operations
- Exclusion zones
- Patrol areas
- Training grounds
- Strategic territories
Real Estate and Property (Large Scale)
While hectares or acres are more common for individual properties, square kilometers are used for:
- Very large land holdings (ranches, estates)
- Land development projects
- Agricultural regions
- Forestry concessions
- Mining leases
Example: A large cattle ranch might be 100-500 km²
Agriculture (Regional Scale)
While individual farms use hectares, agricultural regions and total crop areas are measured in square kilometers:
- Total agricultural land per country
- Grain belt regions
- Wine regions
- Crop suitability zones
- Irrigation coverage areas
Example: Corn Belt in USA covers approximately 500,000 km²
International Comparisons
Essential for comparing regions, countries, and geographic features across borders and continents.
Comparison Uses:
- "Country X is about the size of State Y"
- "This forest is larger than Country Z"
- "The disaster area equals 10 times the size of City A"
Common Comparisons:
- Singapore (728 km²) is smaller than New York City (1,214 km²)
- United Kingdom (242,495 km²) is about the same size as Oregon (254,799 km²)
- Australia (7.7 million km²) is about the same size as the contiguous USA (8.1 million km²)
Convert for comparisons: km² to square miles | km² to acres
Additional Unit Information
About Square Yard (yd²)
How many square feet are in one square yard?
Exactly 9 square feet in one square yard.
Why 9?
- 1 yard = 3 feet (linear)
- 1 yd² = (3 ft)² = 3 × 3 = 9 ft²
Visualization: Imagine a 3×3 grid of one-foot squares. That's 1 square yard.
How do I calculate square yards for a room?
Step 1: Measure room in feet
- Length: 12 feet
- Width: 15 feet
Step 2: Calculate square feet
- Area = 12 × 15 = 180 ft²
Step 3: Convert to square yards
- Divide by 9: 180 ÷ 9 = 20 yd²
For Irregular Rooms:
- Divide into rectangles
- Calculate each in ft²
- Add together
- Divide total by 9
Why is carpet sold by the square yard instead of square foot?
Historical Convention:
- Carpet traditionally woven in 36-inch (1-yard) widths
- Pricing naturally per yard × yard = per square yard
- Industry standard since 1800s
Practical Reasons:
- Simpler numbers: 30 yd² vs 270 ft²
- International carpet trade used yards
- Easier mental math for contractors
Modern Reality:
- US still uses yd² for carpet
- UK mixed: some use yd², some use m²
- Metric countries use m² exclusively
How many square yards in an acre?
4,840 square yards in one acre.
Calculation:
- 1 acre = 43,560 ft²
- 43,560 ÷ 9 = 4,840 yd²
Visualization:
- 1 acre = 4,840 yd² = large residential lot
- ½ acre = 2,420 yd² = typical suburban lot
- ¼ acre = 1,210 yd² = small lot
Is square yard used for house floor plans?
No, square yards are rarely used for residential floor plans.
US Standard: Square feet (ft²)
- All real estate listings in ft²
- Building codes specify ft²
- Appraisals calculate ft²
International Standard: Square meters (m²)
- All metric countries use m²
- UK transitioned from ft² to m²
When Square Yards Are Used:
- Carpet estimation within house
- Flooring contractor quotes
- Historical property records (pre-1950)
How much does carpet cost per square yard?
US Average Carpet Prices (2024):
Material Only:
- Economy: $10-20/yd²
- Mid-grade: $25-40/yd²
- Premium: $45-75/yd²
- Luxury wool: $80-150/yd²
Installed (material + padding + labor):
- Economy: $18-30/yd²
- Mid-grade: $35-55/yd²
- Premium: $60-95/yd²
- Luxury: $100-180/yd²
Additional Costs:
- Carpet removal: $1-2/yd²
- Floor prep: $1-3/yd²
- Stairs: $5-10 per step
- Moving furniture: $0.50-1/yd²
How do I convert fabric linear yards to square yards?
Depends on Fabric Width:
Formula: $$ \text{yd}^2 = \text{Linear yards} \times \frac{\text{Width (inches)}}{36} $$
Common Widths:
| Fabric Width | Square Yards per Linear Yard | |--------------|------------------------------| | 36" (1 yard) | 1.0 yd² | | 44-45" (quilting) | 1.22 yd² | | 54" (upholstery) | 1.5 yd² | | 60" (home decor) | 1.67 yd² | | 108" (backing) | 3.0 yd² |
Example:
- Buy 4 linear yards of 54" fabric
- Square yards: 4 × 1.5 = 6 yd²
How many square yards of sod do I need?
Step 1: Measure lawn area in square feet
- Use length × width for rectangles
- Add multiple areas together
Step 2: Convert to square yards
- Divide square feet by 9
Step 3: Add 5-10% for waste
- Trimming, irregular shapes, future repairs
Example:
- Lawn: 1,200 ft²
- Square yards: 1,200 ÷ 9 = 133.3 yd²
- With 10% waste: 133.3 × 1.1 = 147 yd²
Sod Piece Sizes:
- Standard: 2 ft × 4 ft = 8 ft² = 0.89 yd²
- Roll: 16" × 24" (smaller)
- Calculate pieces: 147 ÷ 0.89 = 165 pieces
What's the difference between square yards and cubic yards?
Square Yards (yd²): Area measurement (2D)
- Floor coverage
- Carpet size
- Lawn area
- Formula: length × width
Cubic Yards (yd³): Volume measurement (3D)
- Concrete amount
- Mulch/soil volume
- Gravel quantity
- Formula: length × width × depth (all in yards)
Conversion Between Them:
- Depends on depth/thickness
- Example: 1 cubic yard of mulch at 2-inch depth covers 162 yd²
- Formula: Coverage (yd²) = Cubic yards × 27 / Depth (feet)
How accurate should my square yard measurements be?
Room Measurement:
- Round to nearest inch (0.08 feet)
- Acceptable: ±2-3% error
Ordering Flooring:
- Calculate to 0.1 yd² precision
- Always round up
- Add 10-15% waste
Large Projects:
- More precise measurements needed
- Professional measuring recommended
- Errors compound over large areas
Example:
- Measure room: 11' 7" × 14' 3"
- Convert: 11.58 ft × 14.25 ft = 165 ft²
- Square yards: 165 ÷ 9 = 18.3 yd²
- Order: 18.3 × 1.10 = 20.2 yd² → round to 21 yd²
About Square Kilometer (km²)
How many square meters are in one square kilometer?
There are exactly 1,000,000 square meters (m²) in one square kilometer.
Calculation: 1 km² = 1,000 m × 1,000 m = 1,000,000 m²
Conversion:
- 1 km² = 1,000,000 m²
- 0.1 km² = 100,000 m²
- 0.01 km² = 10,000 m²
- Example: 2.5 km² = 2,500,000 m²
Use our square kilometer to square meter converter for instant conversions.
How many hectares are in one square kilometer?
There are exactly 100 hectares (ha) in one square kilometer.
Why: 1 km² = 1,000,000 m² and 1 ha = 10,000 m², therefore: 1 km² = 1,000,000 m² ÷ 10,000 m²/ha = 100 ha
Conversion examples:
- 1 km² = 100 hectares
- 10 km² = 1,000 hectares
- 0.5 km² = 50 hectares
- 2.5 km² = 250 hectares
When to use which:
- Hectares: Farms, parks, smaller land areas (1-1,000 ha)
- Square kilometers: Cities, regions, countries (0.1+ km²)
Convert between them: km² to hectares | Hectares to km²
How do you convert square kilometers to square miles?
To convert square kilometers to square miles, multiply the area in square kilometers by approximately 0.386102.
Conversion formula: Area [mi²] ≈ Area [km²] × 0.386102
Examples:
- 1 km² ≈ 0.386 mi²
- 10 km² ≈ 3.86 mi²
- 100 km² ≈ 38.6 mi²
- 1,000 km² ≈ 386 mi²
Reverse conversion (square miles to square kilometers):
- Multiply by approximately 2.58999
- 1 mi² ≈ 2.59 km²
Why this factor?:
- 1 km = 0.621371 miles
- 1 km² = (0.621371)² = 0.386102 mi²
Use our km² to mi² converter for accurate conversions without manual calculation.
Is the square kilometer an official SI unit?
Technically, the official SI derived unit for area is the square meter (m²).
However, the square kilometer (km²) is a standard and fully accepted multiple within the metric system and for use alongside SI units.
Why it's accepted:
- Formed by combining an SI prefix (kilo-) with the SI base unit (meter) raised to the power of two
- Follows SI conventions and decimal scaling
- Listed in SI documentation as a "unit accepted for use with SI"
- Used universally in scientific, technical, and official applications
In practice:
- m² is the "base" SI unit for area
- km² is the practical unit for large areas
- Both are fully part of the international metric system
What is the difference between a kilometer and a square kilometer?
Kilometer (km) is a unit of length or distance (one dimension). Square kilometer (km²) is a unit of area (two dimensions).
The difference:
Kilometer (km) - 1D:
- Measures distance, length, height
- Examples: Road length, height of mountain, distance between cities
- Linear measurement
Square Kilometer (km²) - 2D:
- Measures area, surface
- Examples: Size of a country, area of a lake, extent of a forest
- Represents a square with sides of one kilometer each
Key distinction:
- 10 km might be the distance from point A to point B
- 10 km² might be the area of a small town
Analogy:
- Kilometer is like measuring the perimeter of a fence
- Square kilometer is like measuring the area inside the fence
How big is 1 square kilometer visually?
1 square kilometer (km²) is a square with sides exactly 1 kilometer (1,000 meters) long.
Visual comparisons:
- 100 American football fields (including end zones)
- About 150 soccer/football fields
- 0.39 square miles (just over 1/3 of a square mile)
- 247 acres (almost 250 acres)
- A 10-minute walk around the perimeter (4 km)
In city terms:
- Small to medium neighborhood
- 2-4 city blocks (in large US cities)
- Area you could see from a tall building
- Walking distance of 15-20 minutes to cross
In rural terms:
- Large farm
- Small village area
- Several hundred house lots
Perspective:
- Central Park (NYC): 3.41 km²
- Vatican City: 0.44 km²
- Monaco: 2.02 km²
How to visualize: Imagine walking 1 km north, then 1 km east, then 1 km south, then 1 km west back to start - the area inside is 1 km².
What is 100 km² equivalent to?
100 square kilometers = 38.6 square miles = 10,000 hectares = 24,710 acres
City examples (approximately 100 km² or close):
- Paris (city proper): 105 km²
- Washington, D.C.: 177 km²
- Boston: 232 km²
- San Francisco: 121 km²
- Miami: 143 km²
- Manhattan: 59 km² (about 60% of 100 km²)
Country examples (small island nations):
- Maldives: 300 km² (about 3 times)
- Grenada: 344 km² (about 3.5 times)
- Saint Vincent: 389 km² (about 4 times)
Natural features:
- Medium-sized lake
- Large national park or nature reserve
- Small island
- Significant forest area
Population examples:
- At urban density (5,000 people/km²): 500,000 people
- At suburban density (1,000 people/km²): 100,000 people
- At rural density (50 people/km²): 5,000 people
Practical understanding:
- Medium-sized city or large town
- Area you could drive across in 15-30 minutes
- Typical county in smaller US states
Convert 100 km²: to square miles | to hectares
How do you calculate the area in square kilometers?
Basic formula for rectangles: Area (km²) = Length (km) × Width (km)
Step-by-step process:
1. Measure dimensions:
- Measure length and width in kilometers
- If measured in meters, divide by 1,000 to get kilometers
- If measured in miles, multiply by 1.609 to get kilometers
2. Calculate:
- Multiply length by width
- Result is in square kilometers
Examples:
Example 1 - Simple rectangle:
- Length: 5 km
- Width: 3 km
- Area = 5 km × 3 km = 15 km²
Example 2 - From meters:
- Length: 2,500 meters = 2.5 km
- Width: 4,000 meters = 4 km
- Area = 2.5 km × 4 km = 10 km²
Example 3 - From miles:
- Length: 6 miles = 9.66 km
- Width: 4 miles = 6.44 km
- Area = 9.66 km × 6.44 km ≈ 62.2 km²
For complex shapes:
Circle:
- Area = π × radius²
- If radius = 5 km: Area = 3.14159 × 5² ≈ 78.5 km²
Irregular shapes:
- Divide into triangles/rectangles
- Calculate each section
- Add all sections together
- Or use GIS/mapping software
Using GPS coordinates:
- Use online area calculators
- Import coordinates into GIS software
- Software calculates irregular polygons automatically
Verification:
- Use our area converter to check your calculations
- Convert to other units to verify makes sense
What countries are about 1,000 km²?
Countries close to 1,000 km² (between 500-1,500 km²):
Very close to 1,000 km²:
- Hong Kong: 1,104 km²
- Samoa: 2,842 km²
- Luxembourg: 2,586 km²
- Mauritius: 2,040 km²
Between 500-1,000 km²:
- Singapore: 728 km²
- Bahrain: 778 km²
- Kiribati: 811 km²
- Tonga: 747 km²
- Federated States of Micronesia: 702 km²
- Saint Lucia: 617 km²
- Andorra: 468 km²
Between 1,000-1,500 km²:
- Cape Verde: 4,033 km²
- Trinidad and Tobago: 5,131 km²
- Comoros: 1,862 km²
- São Tomé and Príncipe: 964 km²
For comparison:
- 1,000 km² = 386 square miles
- About the size of Hong Kong or 10x the size of Paris
- Smaller than most US counties
- Medium-sized metropolitan area
Interesting fact: Only about 30 countries are smaller than 1,000 km², mostly island nations and microstates.
How many acres is a square kilometer?
1 square kilometer = 247.105 acres (commonly rounded to 247 acres)
Conversion formula: Acres = km² × 247.105
Examples:
- 1 km² = 247 acres
- 5 km² = 1,235 acres
- 10 km² = 2,471 acres
- 100 km² = 24,710 acres
- 0.1 km² = 24.7 acres
Reverse conversion (acres to km²):
- 1 acre = 0.00405 km²
- 100 acres = 0.405 km²
- 1,000 acres = 4.05 km²
- 10,000 acres = 40.5 km²
Perspective:
- A square kilometer is about 247 football fields
- A large farm might be 200-400 acres (0.8-1.6 km²)
- A golf course is typically 50-80 acres (0.2-0.3 km²)
When to use which:
- Acres: US land parcels, farms, developments (< 1,000 acres)
- Square kilometers: Large regions, cities, countries (> 0.5 km²)
Use our converter: km² to acres | Acres to km²
How is square kilometers different from cubic kilometers?
Square Kilometers (km²) and Cubic Kilometers (km³) measure different things:
Square Kilometers (km²) - AREA (2D):
- Measures surface area
- Two-dimensional
- Example: Land area of a country, surface of a lake
- Unit: km × km = km²
Cubic Kilometers (km³) - VOLUME (3D):
- Measures volume or capacity
- Three-dimensional
- Example: Volume of water in a lake, ice in a glacier
- Unit: km × km × km = km³
Real-world examples:
Lake Michigan:
- Area (surface): 58,000 km²
- Volume (water): 4,920 km³
Amazon Rainforest:
- Area (coverage): 5,500,000 km²
- Volume (if measuring biomass in 3D): Would be km³
City:
- Area (footprint): Measured in km²
- Volume (including buildings/air): Could be km³ (rarely used)
Key differences:
| Feature | km² (Area) | km³ (Volume) | |---------|-----------|--------------| | Dimensions | 2D (length × width) | 3D (length × width × height) | | Measures | Surface area | Space/capacity | | Examples | Country size, lake surface | Water volume, ice volume | | Conversion | 1 km² = 1,000,000 m² | 1 km³ = 1,000,000,000 m³ |
Remember:
- km² = Flat surface measurement
- km³ = 3D space measurement
What is the area of the Earth in square kilometers?
Total Earth surface area: Approximately 510,000,000 km² (510 million km²)
Breakdown:
Water (Oceans and seas):
- Area: ~361,000,000 km² (361 million km²)
- Percentage: ~71% of Earth's surface
- All oceans, seas, lakes combined
Land:
- Area: ~149,000,000 km² (149 million km²)
- Percentage: ~29% of Earth's surface
- All continents and islands
Continents by area:
- Asia: 44,579,000 km²
- Africa: 30,370,000 km²
- North America: 24,709,000 km²
- South America: 17,840,000 km²
- Antarctica: 14,000,000 km² (varies with ice)
- Europe: 10,180,000 km²
- Australia/Oceania: 8,600,000 km²
Oceans by area:
- Pacific: 165,200,000 km²
- Atlantic: 106,460,000 km²
- Indian: 70,560,000 km²
- Southern: 20,327,000 km²
- Arctic: 14,060,000 km²
In other units:
- 510 million km² = 196.9 million mi²
- 510 million km² = 51 billion hectares
Interesting comparisons:
- Russia (largest country): 17 million km² = 3.3% of Earth's surface
- Pacific Ocean alone: 32% of Earth's surface
- All land combined: About the size of the Pacific Ocean + Atlantic Ocean
Note: These are approximate values; exact measurements vary slightly based on sea level, ice coverage, and measurement methodology.
Conversion Table: Square Yard to Square Kilometer
| Square Yard (yd²) | Square Kilometer (km²) |
|---|---|
| 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 | 0.001 |
People Also Ask
How do I convert Square Yard to Square Kilometer?
To convert Square Yard to Square Kilometer, enter the value in Square Yard in the calculator above. The conversion will happen automatically. Use our free online converter for instant and accurate results. You can also visit our area converter page to convert between other units in this category.
Learn more →What is the conversion factor from Square Yard to Square Kilometer?
The conversion factor depends on the specific relationship between Square Yard and Square Kilometer. 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 Square Kilometer back to Square Yard?
Yes! You can easily convert Square Kilometer back to Square Yard by using the swap button (⇌) in the calculator above, or by visiting our Square Kilometer to Square Yard converter page. You can also explore other area conversions on our category page.
Learn more →What are common uses for Square Yard and Square Kilometer?
Square Yard and Square Kilometer are both standard units used in area measurements. They are commonly used in various applications including engineering, construction, cooking, and scientific research. Browse our area converter for more conversion options.
For more area conversion questions, visit our FAQ page or explore our conversion guides.
Helpful Conversion Guides
Learn more about unit conversion with our comprehensive guides:
All Area Conversions
Other Area Units and Conversions
Explore other area units and their conversion options:
- Square Meter (m²) • Square Yard to Square Meter
- Square Centimeter (cm²) • Square Yard to Square Centimeter
- Square Millimeter (mm²) • Square Yard to Square Millimeter
- Square Inch (in²) • Square Yard to Square Inch
- Square Foot (ft²) • Square Yard to Square Foot
- Square Mile (mi²) • Square Yard to Square Mile
- Acre (acre) • Square Yard to Acre
- Hectare (ha) • Square Yard to Hectare
Verified Against Authority Standards
All conversion formulas have been verified against international standards and authoritative sources to ensure maximum accuracy and reliability.
National Institute of Standards and Technology — Standards for area measurements
Last verified: December 3, 2025