How to convert degrees to radians
rad = ° × 0.01745329252
Example: 5 ° × 0.01745329252 = 0.0872664626 rad
Degrees to Radians table
| Degrees (°) | Radians (rad) |
|---|---|
| 0.5 ° | 0.0087266463 rad |
| 1 ° | 0.017453293 rad |
| 2 ° | 0.034906585 rad |
| 3 ° | 0.052359878 rad |
| 4 ° | 0.06981317 rad |
| 5 ° | 0.087266463 rad |
| 6 ° | 0.10471976 rad |
| 7 ° | 0.12217305 rad |
| 8 ° | 0.13962634 rad |
| 9 ° | 0.15707963 rad |
| 10 ° | 0.17453293 rad |
| 15 ° | 0.26179939 rad |
| 20 ° | 0.34906585 rad |
| 25 ° | 0.43633231 rad |
| 30 ° | 0.52359878 rad |
| 40 ° | 0.6981317 rad |
| 50 ° | 0.87266463 rad |
| 75 ° | 1.3089969 rad |
| 100 ° | 1.7453293 rad |
| 250 ° | 4.3633231 rad |
| 500 ° | 8.7266463 rad |
| 1,000 ° | 17.453293 rad |
About these units
Degrees (°): A degree is 1/360 of a full turn.
Radians (rad): The radian is the SI unit of angle: the angle at which the arc length equals the radius. A full turn is 2π radians.
Frequently asked questions
How many radians are in 1 degree?
1 degree (°) equals 0.01745329252 radians.
How do I convert ° to rad?
Multiply the value in degrees by 0.01745329252. For example, 5 ° × 0.01745329252 = 0.0872664626 rad.
How do I convert radians back to degrees?
Multiply by 57.29577951 (or divide by 0.01745329252). 1 rad = 57.29577951 °.
What is a degree?
A degree is 1/360 of a full turn.
Conversion factors come from exact international definitions (NIST SP 811, BIPM) where they exist. Results show up to 10 significant digits. Need every angle unit at once? Use the Angle Converter.