Convert Quadrants to Sextants
Convert Quadrants (quad) to Sextants (sxt) instantly and accurately.
Conversion Formula
sxt = quad × 1.5
About Quadrants
A quadrant equals 1/4 of a full circle - π/2 rad = 90°, the right angle. Perpendicularity underpins Euclidean geometry, the Pythagorean theorem, and Cartesian coordinate systems. In AC electrical engineering, voltage and current in purely reactive circuits are exactly 90° out of phase, defining reactive power in VAr. The four quadrants of the unit circle determine the sign of sine, cosine, and tangent. GPS orbital elements encode latitude in semicircles bounded by ±1 quadrant = ±90°. 1 quadrant = 90° = 100 grad = π/2 rad = 1,600 NATO mils.
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
| Quadrants (quad) | Sextants (sxt) |
|---|---|
| 1 quad | 1.5 sxt |
| 2 quad | 3 sxt |
| 5 quad | 7.5 sxt |
| 10 quad | 15 sxt |
| 25 quad | 37.5 sxt |
| 50 quad | 75 sxt |
| 100 quad | 150 sxt |