Square miles to Acres Converter — mi2 to ac

Convert Square mile (mi2) to Acre (ac) using the exact conversion factor (1 square mile = 640 acre). See the formula, worked examples, conversion table, unit comparison, history, and common uses.

Square miles to Acres converter

Converter

Agriculture Converter

Convert acres, hectares, yield, seed, fertilizer, irrigation, and application-rate units.

Result 1 square mile = 640 acre
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From definition

A square mile is 640 acres.

To definition

An international acre is 4,046.8564224 square meters.

Formula

Result = input x 2.58998811e+6 / 4046.856422.

Area units are compatible.

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About Converting Square miles to Acres

Square mile and Acre both measure a farming-related quantity — a land area or an application/yield rate per unit area — used to report crop yields, calculate how much fertilizer or seed a field needs, and plan irrigation. Square mile is typically associated with united States (county, metro, and regional area reporting), while Acre is typically associated with united States.

Formula

acres = square miles × 640

This factor comes from each unit's defined relationship to the category's base unit: 1 square mile equals 2589988.11034 base units, and 1 acre equals 4046.8564224 base units, so dividing one by the other gives the direct square mile-to-acre factor of 640.

Simple example

1 mi2 × 640 = 640 ac

1 square mile = 640 acres.

Real-world example

100 mi2 × 640 = 64,000 ac

100 square miles = 64,000 acres.

Conversion table

Square mile (mi2)Acre (ac)
1 mi2640 ac
5 mi23,200 ac
10 mi26,400 ac
50 mi232,000 ac
100 mi264,000 ac
500 mi2320,000 ac

Reverse conversion: Acre to Square mile

640 ac × 0.0015625 = 1 mi2

640 acres = 1 square mile.

square miles = acres × 0.0015625

For a page dedicated to this direction, see Acre to Square mile.

Square mile vs. Acre

AspectSquare mileAcre
FamilyUS/imperial customary unitUS/imperial customary unit
Typical useUS city, county, and regional area statisticsMeasuring farmland, ranch, and rural property size in the US
Where it's usedUnited States (county, metro, and regional area reporting)United States

Understanding the Square mile

Square mile (mi2) measures area. A square mile is exactly 2,589,988.110336 square meters, derived from the international mile fixed in 1959. It is classified as a US/imperial customary unit.

Where it's used: United States (county, metro, and regional area reporting)

Uses of the Square mile today

  • US city, county, and regional area statistics
  • Population density reporting (people per square mile)
  • Land-use and geography in US contexts

History of the Square mile

The square mile follows directly from the statute mile, itself fixed at exactly 1,609.344 meters by the 1959 International Yard and Pound Agreement; squaring that value gives the modern square mile.

Historical origin. Square mile was not the invention of a single named person; it developed through the process described above.

Understanding the Acre

Acre (ac) measures area. The international acre is defined as exactly 4,046.8564224 square meters. It is classified as a US/imperial customary unit.

Where it's used: United States United Kingdom (informal/historical, land registry legacy) Countries with historical British land-survey systems

International acre vs. US survey acre. The US survey acre, based on the US survey foot, differs from the international acre by about two parts per million. The US retired the survey foot/acre for federal use at the end of 2022.

Uses of the Acre today

  • Measuring farmland, ranch, and rural property size in the US
  • Real estate listings and zoning for land parcels
  • Forestry and land-management reporting

History of the Acre

The acre originated in medieval England as a practical field measurement: the area a yoke of oxen could plow in one day, roughly a furlong (660 ft) long by a chain (66 ft) wide, giving the 43,560 square feet still used today.

Edward I's 1305 statute formalized this figure. In 1959, the same International Yard and Pound Agreement that fixed the pound also fixed the international acre at exactly 4,046.8564224 m², though the US separately retained a slightly different 'US survey acre' for some legacy land records until it was phased out in 2023.

Historical origin. Acre was not the invention of a single named person; it developed through the process described above.

Square mile — sources

  • NIST — International yard and pound (1959) — Basis for the modern mile and its derived area unit.

Acre — sources

  • NIST — US Survey Foot: Revised Unit Conversion Factors — Documents the 1959 international acre definition and the 2022/2023 survey-foot retirement.
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Frequently asked questions

How many acres are in 1 square mile?

1 square mile equals 640 acres, using the exact defined conversion factor rather than an estimate.

How do I convert square mile to acre?

Multiply the square mile value by 640. The converter above does this instantly to whatever precision you set.

How do I convert acre back to square mile?

Use the reverse factor: 1 acre equals 0.0015625 square miles. You can also use the swap control in the converter above to flip the direction instantly.

What is a square mile?

Square mile (mi2) measures area. A square mile is exactly 2,589,988.110336 square meters, derived from the international mile fixed in 1959. It is classified as a US/imperial customary unit.

What is a acre?

Acre (ac) measures area. The international acre is defined as exactly 4,046.8564224 square meters. It is classified as a US/imperial customary unit.

Is the square mile to acre conversion exact?

Yes. The international acre is defined as exactly 4,046.8564224 square meters. That fixed definition is what the converter above uses, so any rounding you see is a display choice, not a limitation of the math.

What is the difference between international acre vs. us survey acre?

The US survey acre, based on the US survey foot, differs from the international acre by about two parts per million. The US retired the survey foot/acre for federal use at the end of 2022.

Where is the square mile still used today?

United States (county, metro, and regional area reporting)