Convert Arcminutes to Gradians
Convert Arcminutes (′) to Gradians (grad) instantly and accurately.
Conversion Formula
grad = ′ × 0.01851851852
About Arcminutes
An arcminute (′) is 1/60 of a degree - π/10,800 rad ≈ 2.909 × 10⁻⁴ rad. One arcminute of latitude equals exactly one nautical mile (1,852 m), which is the origin of the nautical mile unit. The Moon and Sun both subtend ~30 arcminutes in apparent diameter - the coincidence exploited in total solar eclipses. Human 20/20 visual acuity resolves letters 5 arcminutes tall at 6 m. Binocular and telescope apparent fields of view are quoted in arcminutes. 1′ = π/10,800 rad ≈ 0.01667° ≈ 290.9 µrad.
About Gradians
A gradian (grad), also called a gon (ISO 31/DIN), equals 1/400 of a full circle - π/200 rad = 0.9°. Its main advantage: a right angle = exactly 100 grad, simplifying complementary and supplementary angle arithmetic. Introduced during the French Revolution as part of decimal angle reform. Surveying in France, the Netherlands, Switzerland, and Scandinavia uses gradians; professional total stations display both degrees and gons. A 1% slope ≈ 0.6366 grad. 1 grad = 0.9° = 54′ = π/200 rad; 400 grad = 360° = one full circle.
Quick Reference Table
| Arcminutes (′) | Gradians (grad) |
|---|---|
| 1 ′ | 0.0185185 grad |
| 2 ′ | 0.037037 grad |
| 5 ′ | 0.0925926 grad |
| 10 ′ | 0.185185 grad |
| 25 ′ | 0.462963 grad |
| 50 ′ | 0.925926 grad |
| 100 ′ | 1.85185 grad |