Convert NATO Angular Mils to Gradians

Convert NATO Angular Mils (mil (NATO)) to Gradians (grad) instantly and accurately.

Conversion Formula

grad = mil (NATO) × 0.0625

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.

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.

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