Convert Semicircles to Warsaw Pact Mils

Convert Semicircles (sc) to Warsaw Pact Mils (mil (WP)) instantly and accurately.

Semicircles (sc)
Warsaw Pact Mils (mil (WP))

Conversion Formula

mil (WP) = sc × 3000

About Semicircles

A semicircle equals 1/2 of a full circle - exactly π rad = 180°. GPS and GLONASS transmit satellite orbital elements with latitude and longitude in semicircles, maximising angular resolution within 32-bit signed integers: ±2³¹ units span ±π rad with ~1.46 × 10⁻⁹ rad resolution per unit. Euler's identity e^(iπ) + 1 = 0 encodes exactly 1 semicircle of rotation in the complex plane, mapping 1 to -1 - often called the most beautiful equation in mathematics. 1 semicircle = π rad = 180° = 200 grad = 3,200 NATO mils.

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.

Quick Reference Table

Semicircles (sc)Warsaw Pact Mils (mil (WP))
1 sc3000 mil (WP)
2 sc6000 mil (WP)
5 sc15000 mil (WP)
10 sc30000 mil (WP)
25 sc75000 mil (WP)
50 sc150000 mil (WP)
100 sc300000 mil (WP)

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