Convert Gradians to Quadrants
Convert Gradians (grad) to Quadrants (quad) instantly and accurately.
Conversion Formula
quad = grad × 0.01
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 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.
Quick Reference Table
| Gradians (grad) | Quadrants (quad) |
|---|---|
| 1 grad | 0.01 quad |
| 2 grad | 0.02 quad |
| 5 grad | 0.05 quad |
| 10 grad | 0.1 quad |
| 25 grad | 0.25 quad |
| 50 grad | 0.5 quad |
| 100 grad | 1 quad |