6 min read
2026-01-15
Full circle = 360°. Right angle = 90°. The most common unit in everyday life and geometry.
SI unit. Full circle = 2π ≈ 6.2832 rad. Right angle = π/2 ≈ 1.5708 rad. Used in mathematics and programming.
Full circle = 400 degrees. Right angle = 100 degrees. Used in geodesy.
1 revolution = 360° = 2π rad. Convenient for describing rotation.
| Degrees | Radians | Grad | Revolutions |
|---|---|---|---|
| 0° | 0 | 0 | 0 |
| 30° | π/6 | 33.33 | 1/12 |
| 45° | π/4 | 50 | 1/8 |
| 90° | π/2 | 100 | 1/4 |
| 180° | π | 200 | 1/2 |
| 360° | 2π | 400 | 1 |
Knowing the key angles (30°, 45°, 60°, 90°) and their sin/cos values helps solve problems without a calculator.
See also: Coordinate Converter, Number Systems Converter, Length Converter