Square Foot to Square Mile Conversion Calculator: Free Online Tool
Convert square feet to square miles with our free online area converter.
Square Foot to Square Mile Calculator
How to Use the Calculator:
- Enter the value you want to convert in the 'From' field (Square Foot).
- 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 Foot to Square Mile
Converting Square Foot to Square Mile involves multiplying the value by a specific conversion factor, as shown in the formula below.
Formula:
1 Square Foot = 3.5870e-8 square miles
Example Calculation:
Convert 10 square feet: 10 × 3.5870e-8 = 3.5870e-7 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 Foot and a Square Mile?
The square foot (plural: square feet; symbol: ft², sq ft, or SF) is an imperial and US customary unit of area. It is defined as the area of a square with sides measuring exactly one foot (0.3048 meters) in length.
One square foot is equal to:
- 144 square inches (in²)
- 1/9 of a square yard (yd²)
- 0.09290304 square meters (m²) (exactly, based on the international foot definition)
- 929.0304 square centimeters (cm²)
It is widely used for measuring room dimensions, house sizes, and smaller land areas in countries using the imperial or US customary systems.
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 Foot is part of the imperial/US customary system, primarily used in the US, UK, and Canada for everyday measurements. The Square Mile belongs to the imperial/US customary system.
History of the Square Foot and Square Mile
- Roots in the Foot: The square foot naturally derives from the foot, a unit of length used since antiquity. The length of the foot varied significantly across different cultures and historical periods, often based on anatomical averages or royal decrees.
- English Standardization: In England, the foot (and thus the square foot) underwent various standardizations. Its use became deeply ingrained in land surveying, architecture, and trade.
- International Foot (1959): To resolve slight discrepancies between the US customary foot and the imperial foot, the "international yard and pound agreement" of 1959 defined the international yard as exactly 0.9144 meters. This implicitly defined the international foot as exactly 0.3048 meters. Consequently, the international square foot is exactly 0.09290304 square meters.
- Persistence: Despite widespread global metrication, the square foot remains the standard unit for many applications, particularly in real estate and construction, in the United States, Canada, the United Kingdom, India, Pakistan, Bangladesh, Malaysia, Singapore, Hong Kong, and several other nations influenced by British or American standards.
- 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 feet and square miles
Explore the typical applications for both Square Foot (imperial/US) and Square Mile (imperial/US) to understand their common contexts.
Common Uses for square feet
The square foot is a ubiquitous unit of area in specific sectors and regions:
- Real Estate (US, Canada, UK, etc.): The primary unit for specifying the area of residential homes, apartments, office spaces, and commercial properties in listings, appraisals, and architectural drawings.
- Construction & Architecture: Used universally in these regions for floor plans, material estimation (flooring, drywall, roofing), and building design.
- Home Improvement: Standard measurement for purchasing materials like tiles, carpet, paint coverage, and wallpaper.
- HVAC Calculations: Used to determine heating and cooling requirements based on room or building area.
- Gardening & Landscaping: Measuring smaller plots, garden beds, patios, or deck areas.
- Rental Space: Often used for pricing storage units or exhibition spaces.
- Art & Signage: Describing the area of canvases, prints, or signs.
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 Foot (ft²)
How big is a square foot visually?
One square foot is the area of a square measuring 1 foot (12 inches or 30.48 cm) on each side. For comparison:
- It's the typical size of a large ceramic floor tile (12"x12").
- It's slightly larger than a standard sheet of US letter paper (8.5"x11" = 93.5 in²).
- A large hardcover notebook might be close to this area.
How many square inches (in²) are in a square foot (ft²)?
There are exactly 144 square inches (in²) in one square foot (ft²). This is because 1 foot = 12 inches, so 1 ft² = (12 inches) × (12 inches) = 144 in².
How many square feet (ft²) are in a square yard (yd²)?
There are exactly 9 square feet (ft²) in one square yard (yd²). This is because 1 yard = 3 feet, so 1 yd² = (3 feet) × (3 feet) = 9 ft².
How do you convert square feet (ft²) to square meters (m²)?
To convert square feet to square meters, multiply the area in square feet by 0.09290304. For a quick approximation, you can divide the number of square feet by 10.764. For example, 100 ft² is exactly 9.290304 m².
How many square feet (ft²) are in an acre (ac)?
There are exactly 43,560 square feet (ft²) in one acre (ac).
Is the square foot (ft²) an SI unit?
No, the square foot is not part of the International System of Units (SI). It is a unit within the imperial system and US customary units. The corresponding SI unit for area is the square meter (m²).
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 Foot to Square Mile
Square Foot (ft²) | Square Mile (mi²) |
---|---|
1 | 0 |
5 | 0 |
10 | 0 |
25 | 0 |
50 | 0 |
100 | 0 |
500 | 0 |
1,000 | 0 |