Convert Square Chain to Square Meter
Convert square chains to square meters instantly. 1 square chain = 404.6856422 square meter — use the live calculator, the exact formula, a conversion table and worked examples. Also check the Square Meter to Square Chain converter for the reverse conversion.
Units explained
Square Chain
A square chain is an imperial unit of area equal to approximately 404.686 m². It equals 1/10 of an acre.
Derived by squaring the chain (66 feet or 22 yards). The chain was defined by Edmund Gunter in 1620 specifically so that 10 square chains equal exactly one acre.
Square chains appear in US Public Land Survey System (PLSS) records and historical English property documents. The 10-to-1 ratio with acres made early survey arithmetic easier.
Defined by Edmund Gunter in 1620 specifically for surveying convenience.
Square Meter
A square meter is the SI base unit of area, defined as the area of a square with sides of one meter. It is the universal scientific unit for area.
Defined by squaring the meter, which was redefined in 2019 in terms of the speed of light. The meter itself was originally proposed by the French Academy of Sciences in 1791 as 1/10,000,000 of the distance from the equator to the North Pole.
Square meters are the universal SI unit for area, used in real estate (most countries outside the US/UK), construction, physics, engineering, materials science, biology, and nearly all scientific contexts worldwide.
Meter adopted as SI base unit in 1960; current exact definition via speed of light dates to 2019.
Square Chain to Square Meter conversion formula
The relationship between square chains and square meters:
To convert square chains to square meters, multiply the value in square chains by 404.6856422. To reverse, multiply square meters by 0.0024710538.
How to use this converter
Type a value into the calculator. The result in square meters updates as you type. Tap a quick value, copy the result with one click, or use the swap arrow to jump straight to the Square Meter to Square Chain converter for the reverse direction.
Step-by-step: convert square chains to square meters
- Write down the value in square chains (ch²).
- Multiply that value by the factor 404.6856422.
- The product is the equivalent value in square meters (m²).
- To reverse, multiply the square meter value by 0.0024710538.
Worked examples
Example 1 — Convert 1 ch² to m²:
1 × 404.6856422 = 404.6856422 m²
Example 2 — Convert 100 ch² to m²:
100 × 404.6856422 = 40468.56422 m²
Square Chain to Square Meter conversion table
Standard reference values for converting square chains to square meters:
| Square Chain [ch²] | Square Meter [m²] |
|---|---|
| 0.01 | 4.046856422 |
| 0.1 | 40.46856422 |
| 1 | 404.6856422 |
| 2 | 809.3712844 |
| 3 | 1214.0569266 |
| 4 | 1618.7425688 |
| 5 | 2023.428211 |
| 10 | 4046.856422 |
| 20 | 8093.712844 |
| 30 | 12140.569266 |
| 40 | 16187.425688 |
| 50 | 20234.28211 |
| 100 | 40468.56422 |
| 500 | 202342.8211 |
| 1000 | 404685.6422 |
Frequently asked questions
How many square meters is 1 square chain?
How do I convert square chains to square meters?
How do I convert square meters back to square chains?
How many square meters is 100 square chains?
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Metric / SI (5 units)
Imperial / US Customary (14 units)
Sources & references
Conversion factor (1 ch² = 404.6856422 m²) verified against the following authoritative sources:
- BIPM — The International System of Units (SI Brochure 9th ed.)
Official BIPM publication defining the seven SI base units (including the meter) and the rules for their use. The global authority on units of measurement.
- NIST — Guide to the SI
US National Institute of Standards and Technology reference covering the SI base and derived units with definitions and usage rules for US technical practice.
- NIST Special Publication 811 — Guide for the Use of the International System of Units
Detailed NIST guide covering exact conversion factors between SI and US customary units along with formatting and rounding conventions.
- NIST — Refinement of values for the yard and pound (Federal Register 1959)
The treaty (signed by US
- International Astronomical Union — System of Astronomical Constants
The IAU defines astronomical units including the AU (149597870700 m exactly) light-year and parsec used in astronomy and astrophysics.