Degrees to Radians Converter
Convert between degrees, radians, and gradians.
Live conversion
1 turn equals 360 degrees, 2π radians, or 400 gradians. Type in any field to update the others.
Common angles
| Degrees | Radians | Gradians |
|---|---|---|
| 30° | π/6 | 33.33 |
| 45° | π/4 | 50 |
| 60° | π/3 | 66.67 |
| 90° | π/2 | 100 |
| 180° | π | 200 |
| 360° | 2π | 400 |
About
Convert any angle between degrees, radians, and gradians. Includes a unit circle reference for common angles like 30°, 45°, 60°, 90°.
How to use
- Type a value in any of the three fields.
- See the equivalents in the other two.
FAQ
Why use radians?+
Calculus and physics use radians because the math is cleaner. The derivative of sin(x) is cos(x) only when x is in radians.