Convert Radians to Sextants
Convert Radians (rad) to Sextants (sxt) instantly and accurately.
Conversion Formula
sxt = rad × 0.9549296586
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″.
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
| Radians (rad) | Sextants (sxt) |
|---|---|
| 1 rad | 0.95493 sxt |
| 2 rad | 1.90986 sxt |
| 5 rad | 4.77465 sxt |
| 10 rad | 9.5493 sxt |
| 25 rad | 23.8732 sxt |
| 50 rad | 47.7465 sxt |
| 100 rad | 95.493 sxt |