Convert NATO Angular Mils to Centesimal Seconds

Convert NATO Angular Mils (mil (NATO)) to Centesimal Seconds (c″) instantly and accurately.

Conversion Formula

c″ = mil (NATO) × 625

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 Centesimal Seconds

A centesimal second (c″) is 1/10,000 of a gradian - exactly π/2,000,000 rad ≈ 1.5708 × 10⁻⁶ rad. In the gradian hierarchy, 1 right angle = 100 grad = 10,000 c′ = 1,000,000 c″. High-precision total stations calibrated in gons report to 0.1-1 c″, equivalent to ~0.0324 arcseconds. Used in French, Dutch, Swiss, and Scandinavian cadastral surveys. DIN 1313 designates 10 c″ = 1 milligon (mgon). 1 c″ ≈ 0.324″ sexagesimal = π/2,000,000 rad.

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