Convert Gradians to Semicircles
Convert Gradians (grad) to Semicircles (sc) instantly and accurately.
Conversion Formula
sc = grad × 0.005
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.
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.
Quick Reference Table
| Gradians (grad) | Semicircles (sc) |
|---|---|
| 1 grad | 0.005 sc |
| 2 grad | 0.01 sc |
| 5 grad | 0.025 sc |
| 10 grad | 0.05 sc |
| 25 grad | 0.125 sc |
| 50 grad | 0.25 sc |
| 100 grad | 0.5 sc |