Square mile (sq mi)

Area unit · Imperial system

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The square mile is a unit of area equal to 640 acres, or 2.589988 square kilometres. Its symbol is sq mi. It is the area of a square one mile on a side, and it is the unit in which American and British counties, cities, parks and disaster zones are described. Its equivalence to exactly 640 acres is not an accident but the foundation of how much of North America was laid out.

The United States Public Land Survey, begun in 1785, divided the western territories into townships of six miles square, each containing thirty-six sections of one square mile. A section holds 640 acres, a quarter section 160, and a quarter of that 40. Those numbers ran through homestead law, land sales and inheritance for a century, and they are still visible from the air in the grid of roads that follows section lines across the Midwest.

Because the survey made the square mile a legal container rather than a mere measurement, it shaped settlement patterns. A quarter section was considered the amount of land a family could work, so farms across the plains came in multiples of 160 acres, and the mile spacing of section-line roads set how far apart towns, schools and grain elevators could usefully sit.

Today its everyday use is descriptive. Population density in American statistics is people per square mile, so around 92 for the country as a whole against nearly 30,000 for Manhattan. Wildfire extent, flood inundation, national park size and metropolitan area are all reported the same way, and British usage matches it for county and national park areas even where other measurements have gone metric.

Converting is straightforward if the factor is remembered: one square mile is 2.59 square kilometres, and one square kilometre is 0.386 square miles. The relationship is not intuitive because it is the square of the length ratio, so a place described as ten times larger in square miles is only about 3.2 times larger in linear extent.

Its awkwardness shows when the three imperial land units are chained. A square mile is 640 acres, an acre is 4840 square yards, and a square yard is nine square feet, so going from a square mile to a square foot means multiplying by 27,878,400. That figure is exactly why land and building are measured with different units even inside the same system.

One square mile equals 640 acres, about 2.59 square kilometres, 259 hectares, or 27,878,400 square feet.

Square mile conversion table

UnitSymbol1 Square mile equals1 of these equalsConverter
Square millimetermm²2589988110336 mm²3.86102158542 × 10-13 sq miSquare miles to Square millimeters
Square centimetercm²25899881103.4 cm²3.86102158542 × 10-11 sq miSquare miles to Square centimeters
Square decimeterdm²258998811.034 dm²0.00000000386102158542 sq miSquare miles to Square decimeters
Square meter2589988.11034 m²0.000000386102158542 sq miSquare miles to Square meters
Square decameterdam²25899.8811034 dam²0.0000386102158542 sq miSquare miles to Square decameters
Square hectometerhm²258.998811034 hm²0.00386102158542 sq miSquare miles to Square hectometers
Square kilometerkm²2.58998811034 km²0.386102158542 sq miSquare miles to Square kilometers
Centiareca2589988.11034 ca0.000000386102158542 sq miSquare miles to Centiares
Deciareda258998.811034 da0.00000386102158542 sq miSquare miles to Deciares
Area25899.8811034 a0.0000386102158542 sq miSquare miles to Ares
Decaredaa2589.98811034 daa0.000386102158542 sq miSquare miles to Decares
Hectareha258.998811034 ha0.00386102158542 sq miSquare miles to Hectares
Square inchsq in4014489600 sq in2.49097668605 × 10-10 sq miSquare miles to Square inches
Square handsq hh250905600 sq hh0.00000000398556269768 sq miSquare miles to Square hands
Square footsq ft27878400 sq ft0.0000000358700642792 sq miSquare miles to Square feet
Square yardsq yd3097600 sq yd0.000000322830578512 sq miSquare miles to Square yards
Square chainsq ch6400 sq ch0.00015625 sq miSquare miles to Square chains
Acreac640 ac0.0015625 sq miSquare miles to Acres
Square furlongsq fur64 sq fur0.015625 sq miSquare miles to Square furlongs
Square nautical milesq nmi0.755119708988 sq nmi1.32429333799 sq miSquare miles to Square nautical miles
Square leaguesq lea0.111111111111 sq lea9 sq miSquare miles to Square leagues