About these units
degree (°)
A degree (°) is 1/360 of a full turn.
radian (rad)
A radian is the angle made by an arc as long as the radius, about 57.2958°. Trig functions in maths and programming use radians.
Degrees to Radians
1 ° = 0.01745329 rad · 1 rad = 57.29578 °
Formula
rad = ° × 0.01745329
Example: 90 × 0.01745329 = 1.570796 rad
° to rad table
| ° | rad |
|---|---|
| 0 ° | 0 rad |
| 1 ° | 0.01745329 rad |
| 15 ° | 0.2617994 rad |
| 30 ° | 0.5235988 rad |
| 45 ° | 0.7853982 rad |
| 60 ° | 1.047198 rad |
| 90 ° | 1.570796 rad |
| 120 ° | 2.094395 rad |
| 135 ° | 2.356194 rad |
| 150 ° | 2.617994 rad |
| 180 ° | 3.141593 rad |
| 270 ° | 4.712389 rad |
| 360 ° | 6.283185 rad |
rad to ° table
| rad | ° |
|---|---|
| 0.1 rad | 5.729578 ° |
| 0.5 rad | 28.64789 ° |
| 1 rad | 57.29578 ° |
| 1.5 rad | 85.94367 ° |
| 2 rad | 114.5916 ° |
| 2.5 rad | 143.2394 ° |
| 3 rad | 171.8873 ° |
| 3.141593 rad | 180 ° |
| 4 rad | 229.1831 ° |
| 5 rad | 286.4789 ° |
| 6 rad | 343.7747 ° |
| 6.283185 rad | 360 ° |
More angle conversions
FAQ
What is 90 degrees in radians?
90 degrees = 1.570796 radians. Multiply the value in ° by 0.01745329.
What is 1 radian in degrees?
1 radian = 57.29578 degrees.