Convert Square Chain to Square Kilometer
Convert square chains to square kilometers instantly. 1 square chain = 0.0004046856 square kilometer — use the live calculator, the exact formula, a conversion table and worked examples. Also check the Square Kilometer 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 Kilometer
A square kilometer is a metric unit of area equal to 1,000,000 m² (one million square meters), or 100 hectares. It is used for measuring large land areas, regional geography, and country-scale statistics.
Derived by squaring the kilometer (1000 m). The kilo- prefix comes from the Greek 'chilioi' (thousand).
Square kilometers express the area of cities, districts, lakes, forests, and entire countries. India's total area is approximately 3,287,263 km². 1 km² equals 100 hectares or about 247.105 acres.
Kilometer has been part of the metric system since 1795.
Square Chain to Square Kilometer conversion formula
The relationship between square chains and square kilometers:
To convert square chains to square kilometers, multiply the value in square chains by 0.0004046856. To reverse, multiply square kilometers by 2471.0538149159.
How to use this converter
Type a value into the calculator. The result in square kilometers 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 Kilometer to Square Chain converter for the reverse direction.
Step-by-step: convert square chains to square kilometers
- Write down the value in square chains (ch²).
- Multiply that value by the factor 0.0004046856.
- The product is the equivalent value in square kilometers (km²).
- To reverse, multiply the square kilometer value by 2471.0538149159.
Worked examples
Example 1 — Convert 1 ch² to km²:
1 × 0.0004046856 = 0.0004046856 km²
Example 2 — Convert 100 ch² to km²:
100 × 0.0004046856 = 0.0404685642 km²
Square Chain to Square Kilometer conversion table
Standard reference values for converting square chains to square kilometers:
| Square Chain [ch²] | Square Kilometer [km²] |
|---|---|
| 0.01 | 4.046856e-6 |
| 0.1 | 4.046856e-5 |
| 1 | 0.0004046856 |
| 2 | 0.0008093713 |
| 3 | 0.0012140569 |
| 4 | 0.0016187426 |
| 5 | 0.0020234282 |
| 10 | 0.0040468564 |
| 20 | 0.0080937128 |
| 30 | 0.0121405693 |
| 40 | 0.0161874257 |
| 50 | 0.0202342821 |
| 100 | 0.0404685642 |
| 500 | 0.2023428211 |
| 1000 | 0.4046856422 |
Frequently asked questions
How many square kilometers is 1 square chain?
How do I convert square chains to square kilometers?
How do I convert square kilometers back to square chains?
How many square kilometers is 100 square chains?
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Metric / SI (5 units)
Imperial / US Customary (14 units)
Sources & references
Conversion factor (1 ch² = 0.0004046856 km²) 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.