Convert Compass Points to Gradians

Convert Compass Points (pt) to Gradians (grad) instantly and accurately.

Conversion Formula

grad = pt × 12.5

About Compass Points

A compass point equals 1/32 of a full circle - π/16 rad ≈ 0.19635 rad (= 11.25°). Traditional maritime compasses divide the horizon into 32 named points from North clockwise back to North, each further divided into quarter-points (2.8125°). This 32-point rose was the standard for European seafaring from the 14th to 19th centuries. Modern navigation uses three-digit decimal bearings (000°-359°), but compass roses persist in meteorology and nautical heritage. 1 compass point = 11.25° = 11°15′ = 200 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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