Convert Warsaw Pact Mils to Radians
Convert Warsaw Pact Mils (mil (WP)) to Radians (rad) instantly and accurately.
Conversion Formula
rad = mil (WP) × 0.001047197551
About Warsaw Pact Mils
The Warsaw Pact mil equals 1/6,000 of a full circle - π/3,000 rad ≈ 1.0472 mrad. The Soviet military adopted this system, dividing the circle into 6,000 parts instead of the NATO standard 6,400. A full circle = 6,000 WP mils; a right angle = 1,500 mils. Used by Russia, Ukraine, Belarus, Finland, and other post-Soviet states. The 6.7% difference between WP and NATO mils (6,000 vs 6,400 per circle) can cause targeting errors of >1.5 m at 1,000 m if confused. 1 WP mil ≈ 1.0472 mrad = π/3,000 rad.
About Radians
The radian (rad) is the SI unit of plane angle, defined as the angle subtended at the centre of a circle by an arc equal in length to the radius. A full circle = 2π rad; a right angle = π/2 rad. The radian is dimensionless (arc length / radius), so it can be omitted in equations. All calculus and physics formulas are simplest in radians: d/dx(sin x) = cos x holds only in radians; Taylor series sin x = x − x³/6 + x⁵/120 hold only for x in radians; angular frequency ω = 2πf gives energy E = ħω. 1 rad = 180°/π ≈ 57.2958° ≈ 206,264.8″.
Quick Reference Table
| Warsaw Pact Mils (mil (WP)) | Radians (rad) |
|---|---|
| 1 mil (WP) | 0.0010472 rad |
| 2 mil (WP) | 0.0020944 rad |
| 5 mil (WP) | 0.00523599 rad |
| 10 mil (WP) | 0.010472 rad |
| 25 mil (WP) | 0.0261799 rad |
| 50 mil (WP) | 0.0523599 rad |
| 100 mil (WP) | 0.10472 rad |