How to convert degrees to radians
1 degree = 0.0174532925 radians and 1 radian = 57.29577951 degrees. To convert degrees to radians, multiply by 0.0174532925:
rad = ° × 0.0174532925
Examples
- 30 ° × 0.0174532925 = 0.5235987756 rad
- 90 ° × 0.0174532925 = 1.570796327 rad
- 180 ° × 0.0174532925 = 3.141592654 rad
° to rad conversion table
| Degrees (°) | Radians (rad) |
|---|---|
| 1 ° | 0.0174532925 rad |
| 5 ° | 0.0872664626 rad |
| 10 ° | 0.1745329252 rad |
| 15 ° | 0.2617993878 rad |
| 30 ° | 0.5235987756 rad |
| 45 ° | 0.7853981634 rad |
| 60 ° | 1.047197551 rad |
| 90 ° | 1.570796327 rad |
| 120 ° | 2.094395102 rad |
| 135 ° | 2.35619449 rad |
| 150 ° | 2.617993878 rad |
| 180 ° | 3.141592654 rad |
| 210 ° | 3.665191429 rad |
| 225 ° | 3.926990817 rad |
| 270 ° | 4.71238898 rad |
| 300 ° | 5.235987756 rad |
| 315 ° | 5.497787144 rad |
| 360 ° | 6.283185307 rad |
What is a degree?
A degree is 1/360 of a full turn.
What is a radian?
A radian is the angle at which the arc length equals the radius; a full turn is 2π radians (about 6.283).
Related conversions
Frequently asked questions
How do I convert degrees to radians?
Multiply the value in degrees by 0.0174532925. 1 degree = 0.0174532925 radians.
How many degrees are in one radian?
1 radian = 57.29577951 degrees.
What is 90 ° in rad?
90 ° = 1.570796327 rad.
What is 180 ° in rad?
180 ° = 3.141592654 rad.