Convert Gradians to NATO Angular Mils
Convert Gradians (grad) to NATO Angular Mils (mil (NATO)) instantly and accurately.
Conversion Formula
mil (NATO) = grad × 16
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.
About NATO Angular Mils
The NATO angular mil equals 1/6,400 of a full circle - π/3,200 rad ≈ 0.9817 mrad. Artillery and mortar crews rely on its practical small-angle equivalence: 1 mil at 1,000 m subtends ~1 m (exact: 0.9817 m), enabling rapid range correction calculations. The 6,400-mil circle divides cleanly: 1,600 mils = 90°, 3,200 mils = 180°. Note: 1 NATO mil ≈ 0.9817 mrad - not the same as a milliradian; the 1.8% difference equals ~18 mm at 1,000 m. 1° ≈ 17.778 NATO mils.
Quick Reference Table
| Gradians (grad) | NATO Angular Mils (mil (NATO)) |
|---|---|
| 1 grad | 16 mil (NATO) |
| 2 grad | 32 mil (NATO) |
| 5 grad | 80 mil (NATO) |
| 10 grad | 160 mil (NATO) |
| 25 grad | 400 mil (NATO) |
| 50 grad | 800 mil (NATO) |
| 100 grad | 1600 mil (NATO) |