Convert NATO Angular Mils to Centesimal Minutes

Convert NATO Angular Mils (mil (NATO)) to Centesimal Minutes (c′) instantly and accurately.

NATO Angular Mils (mil (NATO))
Centesimal Minutes (c′)

Conversion Formula

c′ = mil (NATO) × 6.25

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 Minutes

A centesimal minute (c′) is 1/100 of a gradian - exactly π/20,000 rad ≈ 1.5708 × 10⁻⁴ rad (= 0.9 sexagesimal arcminutes). Also designated cgon (centigon) in ISO/DIN standards. Total stations in the grad system display readings to 1 c′ or 0.1 c′; a right angle = 100 grad = 10,000 c′. A 1% slope ≈ 0.6366 grad ≈ 63.66 c′ - a simple calculation that makes the centesimal minute popular in road and railway alignment. 1 c′ = 0.9′ = 54″ = π/20,000 rad.

Quick Reference Table

NATO Angular Mils (mil (NATO))Centesimal Minutes (c′)
1 mil (NATO)6.25 c′
2 mil (NATO)12.5 c′
5 mil (NATO)31.25 c′
10 mil (NATO)62.5 c′
25 mil (NATO)156.25 c′
50 mil (NATO)312.5 c′
100 mil (NATO)625 c′

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