Convert Gradians to Sextants
Convert Gradians (grad) to Sextants (sxt) instantly and accurately.
Conversion Formula
sxt = grad × 0.015
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 Sextants
A sextant, as an angle unit, equals 1/6 of a full circle - π/3 rad = exactly 60°. The marine sextant (invented ~1730s by John Hadley and Thomas Godfrey) measures the altitude between a celestial body and the horizon; its 60° arc gives 120° measurement range via double reflection. The 60° angle is geometrically fundamental: equilateral triangles, regular hexagons, hexagonal crystal structures, and sp²-hybridised carbon (benzene, graphene) all exhibit 60° symmetry. 1 sextant = 60° = π/3 rad = 100 grad.
Quick Reference Table
| Gradians (grad) | Sextants (sxt) |
|---|---|
| 1 grad | 0.015 sxt |
| 2 grad | 0.03 sxt |
| 5 grad | 0.075 sxt |
| 10 grad | 0.15 sxt |
| 25 grad | 0.375 sxt |
| 50 grad | 0.75 sxt |
| 100 grad | 1.5 sxt |