Convert Square Mile to Square Rod
Convert square miles to square rods instantly. 1 square mile = 102400 square rod — use the live calculator, the exact formula, a conversion table and worked examples. Also check the Square Rod to Square Mile converter for the reverse conversion.
Units explained
Square Mile
A square mile is an imperial unit of area equal to exactly 2,589,988.110336 m². It is used for measuring large land areas in the United States and the United Kingdom.
Derived by squaring the statute mile (5,280 feet). The mile was standardized via the 1959 International Yard and Pound Agreement.
Square miles are used for US and UK regional geography (county areas, lake sizes, large parks), national statistics, and military range descriptions. 1 mi² = 640 acres = 2.589988 km².
Mile dates to Roman antiquity; modern exact value standardized in 1959.
Square Rod
A square rod is an imperial unit of area equal to approximately 25.293 m². It is part of the historical English land survey system.
Derived by squaring the rod (16.5 feet or 1/4 chain). The rod, perch, and pole are three names for the same length.
Square rods appear in historical English and American land surveys and legacy property records. The unit is largely obsolete today, surviving mainly in legal descriptions of older land grants.
Standardized via the 1959 International Yard and Pound Agreement.
Square Mile to Square Rod conversion formula
The relationship between square miles and square rods:
To convert square miles to square rods, multiply the value in square miles by 102400. To reverse, multiply square rods by 9.765625e-6.
How to use this converter
Type a value into the calculator. The result in square rods 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 Rod to Square Mile converter for the reverse direction.
Step-by-step: convert square miles to square rods
- Write down the value in square miles (mi²).
- Multiply that value by the factor 102400.
- The product is the equivalent value in square rods (rd²).
- To reverse, multiply the square rod value by 9.765625e-6.
Worked examples
Example 1 — Convert 1 mi² to rd²:
1 × 102400 = 102400 rd²
Example 2 — Convert 100 mi² to rd²:
100 × 102400 = 1.024e+7 rd²
Square Mile to Square Rod conversion table
Standard reference values for converting square miles to square rods:
| Square Mile [mi²] | Square Rod [rd²] |
|---|---|
| 0.01 | 1024 |
| 0.1 | 10240 |
| 1 | 102400 |
| 2 | 204800 |
| 3 | 307200 |
| 4 | 409600 |
| 5 | 512000 |
| 10 | 1024000 |
| 20 | 2048000 |
| 30 | 3072000 |
| 40 | 4096000 |
| 50 | 5120000 |
| 100 | 1.024e+7 |
| 500 | 5.12e+7 |
| 1000 | 1.024e+8 |
Frequently asked questions
How many square rods is 1 square mile?
How do I convert square miles to square rods?
How do I convert square rods back to square miles?
How many square rods is 100 square miles?
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Metric / SI (5 units)
Imperial / US Customary (14 units)
Sources & references
Conversion factor (1 mi² = 102400 rd²) 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.