Acres to Square Meters
Convert acres (ac) to square meters (m²). Both measure surface measurement, and the conversion comes up in real estate, farming, construction work.
The Formula
``
square meters = acres × 4046.8564224
acres = square meters × 0.000247105381467
`
One acre is 4,046.86 square meters, and one square meter is 2.4711e-4 acres.
Conversion Table
| Acres | Square Meters |
|---|---|
| 1 ac | 4,046.86 m² |
| 2 ac | 8,093.71 m² |
| 5 ac | 20,234.28 m² |
| 10 ac | 40,468.56 m² |
| 25 ac | 101,171.41 m² |
| 50 ac | 202,342.82 m² |
| 100 ac | 404,685.64 m² |
| 500 ac | 2,023,428.21 m² |
| 1,000 ac | 4,046,856.42 m² |
The Other Direction
| Square Meters | Acres |
|---|---|
| 1 m² | 2.4711e-4 ac |
| 2 m² | 4.9421e-4 ac |
| 5 m² | 0.001236 ac |
| 10 m² | 0.002471 ac |
| 25 m² | 0.006178 ac |
| 50 m² | 0.012355 ac |
| 100 m² | 0.024711 ac |
| 500 m² | 0.123553 ac |
| 1,000 m² | 0.247105 ac |
What Each Unit Is
Acres (ac) — exactly 4,046.8564224 square metres, or one furlong by one chain. The area a yoke of oxen could plough in a day — long and thin, because turning wasted time.
Square Meters (m²) — the area of a square one metre on each side — the SI derived unit of area. The metric standard for floor area, land and materials.
A Sense of Scale
An American football field is 1.32 acres- A soccer pitch is about 1.8 acres
- A parking space is about 12 m²
- A small flat is 45 m²
- A tennis court is 261 m²
Precision
The factor 4046.8564224 is rounded. For engineering work carry more digits than the table above, and round only at the end — rounding at each step compounds.
In Code
`javascript
const acreToSquareMeter = (value) => value * 4046.8564224;
``
Where This Conversion Comes Up
- Real estate
- Farming
- Construction
- Landscaping
- Flooring
How Many Decimals Do You Need?
Rounding the factor costs accuracy, and how much depends on the factor. Converting 137 ac with the factor truncated at each decimal place:
| Decimals kept | Factor | 137 ac becomes | Error |
|---|---|---|---|
| 0 | 4047 | 554,439 | 0.0035% |
| 1 | 4046.9 | 554,425.3 | 0.0011% |
| 2 | 4046.86 | 554,419.82 | — |
| 3 | 4046.856 | 554,419.27 | — |
| 4 | 4046.8564 | 554,419.33 | — |
The right number of significant figures is set by your input, not by the converter. If you measured acres to three significant figures, the answer in square meters is only good to three — writing more digits claims precision the measurement never had.