Result equals value times the ratio of conversion factors
Area Conversion =
Solution in Other Units
Unit
Value
Square Meter (m²)
1
Square Centimeter (cm²)
10000
Square Millimeter (mm²)
1000000
Square Kilometer (km²)
1e-6
Hectare (ha)
0.0001
Square Foot (ft²)
10.76391
Square Inch (in²)
1550.0031
Square Yard (yd²)
1.19599
Square Mile (mi²)
3.8610216e-7
Acre (ac)
0.00024710538
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Area Conversion
Each area unit is defined by how many square meters it contains. Because area is two-dimensional, the conversion factors are the squares of the corresponding length factors.
result = value × (from factor / to factor)
How It Works
This converter uses the square meter as its base unit. Each area unit is defined by how many square meters it contains, and conversion is a simple ratio of those factors. Because area is two-dimensional, the conversion factors are the squares of the corresponding length factors. All math uses BigNumber precision for reliable results.
Example Problem
Convert 2 acres to square meters: 2 × 4,046.8564224 = 8,093.71 m². The factor 4,046.8564224 is the exact number of square meters in one acre, derived from the international foot definition.
Multiply the value by the conversion factor: 2 × 4,046.8564224
Result: 8,093.71 m²
Key Concepts
Area measures two-dimensional space and is expressed in squared length units. Because area is the product of two lengths, conversion factors are the squares of the corresponding linear factors — for example, 1 ft = 0.3048 m, so 1 sq ft = 0.3048 squared = 0.0929 sq m. Common area units span a wide range: square millimeters for electronic components, square meters for rooms, acres for farms, and square kilometers for countries.
Applications
Real estate: converting property lot sizes between square feet, acres, and hectares for international listings
Agriculture: converting field measurements between acres and hectares for crop yield calculations
Construction: converting floor plans between square meters and square feet for material estimates
Land surveying: translating between metric and imperial area units for boundary descriptions and legal documents
Common Mistakes
Squaring the linear conversion factor incorrectly — to convert sq ft to sq m, multiply by 0.3048 squared (0.0929), not by 0.3048 itself
Confusing acres with hectares — 1 acre is about 0.4047 hectares, not the reverse; mixing them up doubles or halves the true area
Forgetting that 'square' in unit names means the factor is squared — 1 km = 1,000 m, but 1 sq km = 1,000,000 sq m, not 1,000
Frequently Asked Questions
How many square feet are in an acre?
One acre equals exactly 43,560 square feet. An acre was historically defined as the area a yoke of oxen could plow in one day, but today it is precisely defined in terms of square meters (4,046.8564224 m²).
What is a hectare?
A hectare is a metric unit of area equal to 10,000 square meters (100 m × 100 m). It is roughly 2.471 acres and is commonly used for measuring land area worldwide.
How do I convert square meters to square feet?
Multiply the number of square meters by 10.7639 to get square feet. One square meter equals approximately 10.764 square feet because one meter is about 3.281 feet, and 3.281² ≈ 10.764.
Related Calculators
Length Converter — convert between meters, feet, inches, and more.
Volume Converter — convert between liters, gallons, cubic meters, and more.