Degrees to Radians Converter
How to convert degrees to radians
radians = degrees ÷ 57.2957795
To convert degrees to radians, divide the number of degrees by 57.2957795.
1° = 0.0174532925 rad
Examples
- A right angle: 90° ÷ 57.2957795 = 1.57079633 rad
- A full turn: 360° ÷ 57.2957795 = 6.28318531 rad
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.
Degrees to radians conversion table
| Degrees (°) | Radians (rad) |
|---|---|
| 1° | 0.0174532925 rad |
| 5° | 0.0872664626 rad |
| 10° | 0.174532925 rad |
| 15° | 0.261799388 rad |
| 30° | 0.523598776 rad |
| 45° | 0.785398163 rad |
| 60° | 1.04719755 rad |
| 90° | 1.57079633 rad |
| 120° | 2.0943951 rad |
| 180° | 3.14159265 rad |
| 270° | 4.71238898 rad |
| 360° | 6.28318531 rad |
Unit definitions
- Degree (°)
- A degree is 1/360 of a full turn. It is the everyday unit of angle, used in geometry, navigation and geographic coordinates.
- 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°.