Radians to Degrees Converter
How to convert radians to degrees
degrees = radians × 57.2957795
To convert radians to degrees, multiply the number of radians by 57.2957795.
1 rad = 57.2957795°
Examples
- 1 rad × 57.2957795 = 57.2957795°
- Π radians, a half turn: 3.14159265 rad × 57.2957795 = 180°
Good to know
π radians equal exactly 180 degrees, so one radian is about 57.2958° and one degree is about 0.0174533 rad. Most programming languages expect angles in radians.
Radians to degrees conversion table
| Radians (rad) | Degrees (°) |
|---|---|
| 0.1 rad | 5.72957795° |
| 0.25 rad | 14.3239449° |
| 0.5 rad | 28.6478898° |
| 0.75 rad | 42.9718346° |
| 1 rad | 57.2957795° |
| 1.5 rad | 85.9436693° |
| 2 rad | 114.591559° |
| 2.5 rad | 143.239449° |
| 3 rad | 171.887339° |
| 3.14159265 rad | 180° |
| 4 rad | 229.183118° |
| 5 rad | 286.478898° |
| 6 rad | 343.774677° |
| 6.28318531 rad | 360° |
Unit definitions
- Radian (rad)
- The radian is the SI unit of angle: the angle at the center of a circle subtended by an arc equal in length to the radius. A full turn is 2π radians, so one radian is 180/π degrees, about 57.2958°.
- Degree (°)
- A degree is 1/360 of a full turn. It is the everyday unit of angle, used in geometry, navigation and geographic coordinates.