Square Mile to Acre Conversion Calculator: Free Online Tool
Convert square miles to acres with our free online area converter.
Square Mile to Acre Calculator
How to Use the Calculator:
- Enter the value you want to convert in the 'From' field (Square Mile).
- The converted value in Acre 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 Mile to Acre
Converting Square Mile to Acre involves multiplying the value by a specific conversion factor, as shown in the formula below.
Formula:
1 Square Mile = 640 acres
Example Calculation:
Convert 10 square miles: 10 × 640 = 6400 acres
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 Mile and a Acre?
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)
The acre (symbol: ac) is a unit of land area used in the imperial and US customary systems. It is traditionally defined as the area of one chain by one furlong (66 by 660 feet). This is exactly equal to:
- 10 square chains
- 1/640 of a square mile
- 4,840 square yards
- 43,560 square feet
- Approximately 4,046.856 square meters (m²)
- Approximately 0.4047 hectares (ha)
While derived from traditional farming practices, its size is now legally defined based on the international yard.
Note: The Square Mile is part of the imperial/US customary system, primarily used in the US, UK, and Canada for everyday measurements. The Acre belongs to the imperial/US customary system.
History of the Square Mile and Acre
- 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.
- Origin: The word "acre" derives from the Old English word æcer (originally meaning "open field"), cognate with German Acker and Latin ager. It traditionally represented the amount of land that could be ploughed by one man with one yoke of oxen in one day. This practical definition naturally led to considerable variation in its size depending on the land quality and local customs.
- Medieval Variations: Throughout the Middle Ages in England, the acre's size varied. Different regions used "customary acres" based on local practices, often related to the quality of the land or the length of a standard furrow (furlong).
- Standardization (Gunter's Chain): The standardization of the acre is closely linked to the invention of Gunter's chain in 1620. This measuring chain, 66 feet long (divided into 100 links), became a standard survey tool. The traditional definition of an acre as a strip of land one furlong (10 chains or 660 feet) long and one chain (66 feet) wide was easily measured using the chain. This area is precisely 10 square chains.
- Statutory Acre: In England and Wales, the Weights and Measures Act of 1878 formalized the "statutory acre" based on the imperial yard, solidifying the definition as 4,840 square yards (or 43,560 square feet). This is the acre commonly used today in the UK, US, and Commonwealth countries.
- Metrication: Although many countries using the acre have largely adopted the metric system for other measurements, the acre persists strongly in land transactions and agriculture due to historical precedent and cultural familiarity. The hectare (10,000 m²) is the more common metric unit for land.
Common Uses for square miles and acres
Explore the typical applications for both Square Mile (imperial/US) and Acre (imperial/US) to understand their common contexts.
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.
Common Uses for acres
The acre remains a primary unit for land measurement in several countries, particularly within specific sectors:
- Real Estate (US, UK, Commonwealth): Standard unit for describing the size of land parcels in property listings, deeds, and surveys, especially for residential lots larger than typical city plots, rural properties, and undeveloped land.
- Agriculture: Widely used by farmers to measure field sizes, calculate crop yields, allocate resources (like fertilizer or seeds), and comply with agricultural regulations.
- Land Management and Planning: Used in zoning regulations, environmental assessments, and land development projects to specify area requirements or limitations.
- Historical Documents: Understanding the acre is crucial for interpreting historical land records, surveys, and deeds.
- Informal Comparisons: Often used informally to help visualize the size of large areas, even where metric units are officially standard.
Frequently Asked Questions
Questions 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.
About Acre (acre)
How big is an acre visually?
An acre is 43,560 square feet. While it can be any shape, a square acre would be about 208.71 feet on each side. A common visual comparison is an American football field: one acre is about 90.75% of the total area of a standard American football field (which is 120 yards long by 53.33 yards wide, or 57,600 sq ft including end zones). Excluding the end zones (100 yards by 53.33 yards, or 48,000 sq ft), an acre is about 90.75% of the playing field area.
How many square feet are in an acre?
There are exactly 43,560 square feet in one acre. This definition (1 furlong × 1 chain = 660 ft × 66 ft) is precise.
How many square yards are in an acre?
There are exactly 4,840 square yards in one acre (since 1 yard = 3 feet, 1 square yard = 9 square feet; 43,560 / 9 = 4,840).
How many acres are in a square mile?
There are exactly 640 acres in one square mile.
How many acres are in a hectare?
One hectare is equal to 10,000 square meters. Since one acre is approximately 4,046.856 square meters, one hectare contains approximately 2.471 acres (10,000 / 4046.856 ≈ 2.471). Conversely, one acre is approximately 0.4047 hectares.
Is the acre an SI unit?
No, the acre is not part of the International System of Units (SI). It belongs to the imperial and US customary systems. The SI unit for area is the square meter (m²). For land measurement, the hectare (ha), equal to 10,000 m², is commonly used in metric contexts and is accepted for use with SI.
Conversion Table: Square Mile to Acre
Square Mile (mi²) | Acre (acre) |
---|---|
1 | 640 |
5 | 3,200 |
10 | 6,400 |
25 | 16,000 |
50 | 32,000 |
100 | 64,000 |
500 | 320,000 |
1,000 | 640,000 |