How to convert degrees to radians
rad = ° × 0.01745329252Multiply the value in degrees by 0.01745329252. To go the other way, multiply by 57.29577951 (or divide by 0.01745329252).
A degree is smaller than a radian: it takes 57.29577951 degrees to make one radian.
Worked examples
- 1 degree1 ° × 0.01745329252 = 0.01745329252 rad
- 5 degrees5 ° × 0.01745329252 = 0.0872664626 rad
- 10 degrees10 ° × 0.01745329252 = 0.1745329252 rad
- 20 degrees20 ° × 0.01745329252 = 0.3490658504 rad
- 100 degrees100 ° × 0.01745329252 = 1.745329252 rad
Degrees to radians conversion table
Values are calculated by the conversion engine and rounded to 8 significant figures.
| Degrees (°) | Radians (rad) |
|---|---|
| 0.1 ° | 0.0017453293 rad |
| 0.25 ° | 0.0043633231 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 |
| Degrees (°) | Radians (rad) |
|---|---|
| 12 ° | 0.20943951 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 the units
Degree (°)
One 360th of a full turn. One degree equals 0.01745329252 radians (rad).
Radian (rad)
The angle subtended by an arc equal in length to the radius; 2π rad make a full turn, so 1 rad ≈ 57.2958°.
Frequently asked questions
How many radians are in one degree?
There are 0.01745329252 radians in one degree, and this value is exact by definition.
How do I convert degrees to radians?
Multiply the number of degrees by 0.01745329252. For example, 10 ° × 0.01745329252 = 0.1745329252 rad.
How many degrees are in one radian?
One radian equals 57.29577951 degrees. That is the reverse factor, 1 ÷ 0.01745329252.
What is 10 degrees in radians?
10 ° = 0.1745329252 rad.
Is this ° to rad converter accurate?
Yes. Both units are defined exactly in terms of SI units, so the conversion factor is exact; results are shown to 12 significant figures by default and you can change precision in the converter. Calculations run in your browser using the same tested engine that generated this page.