Square Kilometer to Square Mile Conversion Calculator: Free Online Tool
Convert square kilometers to square miles with our free online area converter.
Square Kilometer to Square Mile Calculator
How to Use the Calculator:
- Enter the value you want to convert in the 'From' field (Square Kilometer).
- The converted value in Square Mile 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 Kilometer to Square Mile
Converting Square Kilometer to Square Mile involves multiplying the value by a specific conversion factor, as shown in the formula below.
Formula:
1 Square Kilometer = 0.386102 square miles
Example Calculation:
Convert 10 square kilometers: 10 × 0.386102 = 3.861022 square miles
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.
What is a Square Kilometer and a Square Mile?
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)
- 1 km² ≈ 247.1 acres (ac)
The Square Mile (symbol: mi² or sq mi) is a unit of area within the British Imperial and United States customary systems. It is defined as the area of a square whose sides each measure exactly one statute mile (mi) in length.
Key relationships within the imperial/US customary system:
- 1 mi² = 1 mile × 1 mile
- 1 mile = 1,760 yards (yd) = 5,280 feet (ft)
- Therefore, 1 mi² = (5,280 ft)² = 27,878,400 square feet (ft²)
- 1 mi² = (1,760 yd)² = 3,097,600 square yards (yd²)
- 1 mi² = 640 acres (ac) (This is a fundamental definition within the system)
In terms of metric units:
- 1 mile = 1.609344 kilometers (km) exactly (based on the international yard)
- Therefore, 1 mi² = (1.609344 km)² ≈ 2.589988 square kilometers (km²)
- 1 mi² ≈ 259 hectares (ha)
Note: The Square Kilometer is part of the metric (SI) system, primarily used globally in science and trade. The Square Mile belongs to the imperial/US customary system.
History of the Square Kilometer and Square Mile
- 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.
- 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. 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.
- 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.
- Global Usage: Today, the square kilometer is the predominant unit used worldwide for measuring the land area of countries, large administrative regions, bodies of water, and other significant geographical features.
- Origin (The Mile): The square mile is derived from the mile, a unit of length whose name comes from the Roman mille passus ("thousand paces"). The length of the mile varied considerably until the statute mile was defined by an English Act of Parliament in 1593 as 5,280 feet.
- Imperial System: The square mile became the standard unit for measuring large land areas within the British Empire. Its definition based on the acre (640 acres per square mile) was particularly important for land surveying and administration, especially in the colonization of North America.
- US Public Land Survey System (PLSS): The square mile, referred to as a section, is a fundamental unit in the PLSS, which was established by the Land Ordinance of 1785. This system was used to survey and divide vast amounts of land in the United States. Townships are typically defined as 36 square miles (a 6x6 grid of sections).
- Standardization (International Mile): While the statute mile was legally defined, its exact relationship to metric units was solidified with the international agreement of 1959, which defined the yard (and thus the foot and mile) in terms of the meter. This fixed the conversion to square kilometers.
- Continued Use: Despite global metrication, the square mile remains the primary unit for large land areas and geographical measurements in the United States and is still used in some contexts in the UK, Canada, and other countries with historical ties to the imperial system.
Common Uses for square kilometers and square miles
Explore the typical applications for both Square Kilometer (metric) and Square Mile (imperial/US) to understand their common contexts.
Common Uses for square kilometers
The square kilometer is almost exclusively used for measuring large-scale areas:
- Geography and Cartography: The standard unit for stating the land or surface area of countries, continents, large islands, administrative divisions (states, provinces), and major cities.
- Demography: Essential for calculating population density, typically expressed as inhabitants per square kilometer (people/km²).
- Environmental Science: Measuring the extent of large ecosystems (forests, deserts, wetlands), national parks, conservation areas, watersheds, ice sheets, or the area impacted by large-scale environmental events (e.g., oil spills, deforestation).
- Urban Planning and Land Management: Quantifying large zones, districts, or total city area in regional planning.
- Geology and Planetary Science: Measuring the surface area of large geological formations or the surface areas of planets, moons, and asteroids.
- Military and Logistics: Defining large operational areas or zones.
It is too large for measuring individual properties, farms (hectares or acres are preferred), or room sizes (square meters or square feet are used).
Common Uses for square miles
The square mile is used for measuring large areas, particularly land:
- Geography and Cartography (US, UK, etc.): Measuring the area of cities, counties, states (in the US), national parks, large lakes, islands, and administrative regions in countries using imperial/US customary units.
- Demography (US, UK, etc.): Calculating population density, typically expressed as inhabitants per square mile (people/mi²).
- Land Surveying (US): A fundamental unit (section) in the Public Land Survey System used for defining property boundaries over large parts of the United States.
- Real Estate (Large Tracts): Sometimes used for very large rural properties or ranches, although acres are often preferred.
- Historical Documents: Common in older maps, land deeds, and geographical descriptions in relevant countries.
- Environmental Science: Measuring the extent of large reserves, habitats, or areas affected by large-scale phenomena (e.g., wildfire extent) in relevant regions.
It is generally too large for measuring individual residential properties (acres or square feet are used) or room sizes.
Frequently Asked Questions
Questions 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. This is calculated as 1,000 meters × 1,000 meters.
How many hectares are in one square kilometer?
There are exactly 100 hectares (ha) in one square kilometer. (1 km² = 1,000,000 m² and 1 ha = 10,000 m²).
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
- Example: 100 km² ≈ 100 × 0.386102 mi² ≈ 38.61 mi²
Conversely, to convert square miles to square kilometers, multiply by approximately 2.58999.
- 1 mi² ≈ 2.59 km²
Is the square kilometer an official SI unit?
Strictly speaking, the official SI derived unit for area is the square meter (m²). However, the square kilometer (km²) is formed by combining an SI prefix (kilo-) with the SI base unit (meter) raised to the power of two, making it a standard and fully accepted multiple within the metric system and for use alongside SI units.
What is the difference between a kilometer and a square kilometer?
A kilometer (km) is a unit of length or distance (one dimension). A square kilometer (km²) is a unit of area (two dimensions), representing a square with sides of one kilometer each.
About Square Mile (mi²)
How many acres are in one square mile?
There are exactly 640 acres in one square mile. This is a defining relationship in the imperial and US customary systems.
How do you calculate the area of a square mile?
It is the area of a square with sides of one mile each. Since 1 mile = 5,280 feet: Area = 5,280 ft × 5,280 ft = 27,878,400 square feet (ft²).
How many square kilometers are in one square mile?
One square mile is equal to approximately 2.589988 square kilometers (km²). For practical purposes, it is often rounded to 2.59 km².
- Conversion formula: Area [km²] ≈ Area [mi²] × 2.589988
Is the square mile an SI unit?
No, the square mile is not part of the International System of Units (SI). It belongs to the British Imperial and US customary systems. The corresponding SI-accepted unit for large areas is the square kilometer (km²) or the hectare (ha).
What is a "section" of land in the US?
In the US Public Land Survey System (PLSS), a section is a unit of land area nominally equivalent to one square mile (640 acres). Townships are typically formed from a 6-mile by 6-mile square, containing 36 sections.
How to convert 3 square miles to square yards
To convert 3 square miles to square yards, we need to use the conversion factor between square miles and square yards. 1 square mile = 3,097,600 square yards So, to convert 3 square miles to square yards, we multiply 3 by 3,097,600: 3 square miles = 3 * 3,097,600 = 9,292,800 square yards Therefore, 3 square miles is equal to 9,292,800 square yards.
Conversion Table: Square Kilometer to Square Mile
Square Kilometer (km²) | Square Mile (mi²) |
---|---|
1 | 0.386 |
5 | 1.931 |
10 | 3.861 |
25 | 9.653 |
50 | 19.305 |
100 | 38.61 |
500 | 193.051 |
1,000 | 386.102 |