Convert Square Chain to Square Millimeter
Convert square chains to square millimeters instantly. 1 square chain = 4.046856e+8 square millimeter — use the live calculator, the exact formula, a conversion table and worked examples. Also check the Square Millimeter 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 Millimeter
A square millimeter is a metric unit of area equal to 10⁻⁶ m² (1 mm × 1 mm). It is widely used in engineering, electronics, and small-scale technical work.
Derived by squaring the millimeter, defined as 1/1000 of a meter. The milli- prefix comes from the Latin 'mille' (thousand).
Square millimeters express PCB trace cross-sections, the area of small mechanical features in CAD drawings, biological sample sizes, and material thicknesses.
Millimeter has been part of the metric system since 1795.
Square Chain to Square Millimeter conversion formula
The relationship between square chains and square millimeters:
To convert square chains to square millimeters, multiply the value in square chains by 4.046856e+8. To reverse, multiply square millimeters by 2.471054e-9.
How to use this converter
Type a value into the calculator. The result in square millimeters 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 Millimeter to Square Chain converter for the reverse direction.
Step-by-step: convert square chains to square millimeters
- Write down the value in square chains (ch²).
- Multiply that value by the factor 4.046856e+8.
- The product is the equivalent value in square millimeters (mm²).
- To reverse, multiply the square millimeter value by 2.471054e-9.
Worked examples
Example 1 — Convert 1 ch² to mm²:
1 × 4.046856e+8 = 4.046856e+8 mm²
Example 2 — Convert 100 ch² to mm²:
100 × 4.046856e+8 = 4.046856e+10 mm²
Square Chain to Square Millimeter conversion table
Standard reference values for converting square chains to square millimeters:
| Square Chain [ch²] | Square Millimeter [mm²] |
|---|---|
| 0.01 | 4046856.4220000007 |
| 0.1 | 4.046856e+7 |
| 1 | 4.046856e+8 |
| 2 | 8.093713e+8 |
| 3 | 1.214057e+9 |
| 4 | 1.618743e+9 |
| 5 | 2.023428e+9 |
| 10 | 4.046856e+9 |
| 20 | 8.093713e+9 |
| 30 | 1.214057e+10 |
| 40 | 1.618743e+10 |
| 50 | 2.023428e+10 |
| 100 | 4.046856e+10 |
| 500 | 2.023428e+11 |
| 1000 | 4.046856e+11 |
Frequently asked questions
How many square millimeters is 1 square chain?
How do I convert square chains to square millimeters?
How do I convert square millimeters back to square chains?
How many square millimeters is 100 square chains?
Popular area unit conversions
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Metric / SI (5 units)
Imperial / US Customary (14 units)
Sources & references
Conversion factor (1 ch² = 4.046856e+8 mm²) 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.