How to convert degrees to radians
To convert degrees (°) to radians (rad), multiply the value in degrees by 0.0174532925199.
rad = ° × 0.0174532925199
Example: 10 ° = 0.1745329252 rad.
You can also type 10 ° to rad into the smart calculator, or mix units: 1 ° + 1 rad.
Degrees to Radians conversion table
| Degrees | Radians |
|---|---|
| 0.01 ° | 0.00017453293 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 |
| 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 |
| 60 ° | 1.0471976 rad |
| 75 ° | 1.3089969 rad |
| 100 ° | 1.7453293 rad |
| 250 ° | 4.3633231 rad |
| 500 ° | 8.7266463 rad |
| 1,000 ° | 17.453293 rad |
Converting radians back to degrees
1 rad = 57.29577951 °. See the Radians to Degrees converter, or press the swap button above.
About the units
Degree (°)
One 360th of a full turn.
Radian (rad)
The angle whose arc equals the radius: about 57.2958 degrees.
A full turn is 360 degrees, 2π radians or 400 gradians. The radian is the SI derived unit: the angle that subtends an arc equal in length to the radius.
Questions and answers
How many radians are in a degree?
One degree (°) equals 0.01745329252 radians (rad).
How do I convert degrees to radians?
To convert degrees to radians, multiply the value in degrees by 0.0174532925199. The formula is rad = ° × 0.0174532925199. For example, 10 ° = 0.17453293 rad.
What is 10 ° in rad?
10 degrees is 0.1745329252 radians.
Which is bigger, a degree or a radian?
A radian is bigger: 1 rad = 57.29577951 °.
Does this ° to rad converter work offline?
Yes. ConvertEasy is a progressive web app: after your first visit it keeps working with no connection, and you can install it to your home screen from the browser menu.