Convert Degrees to Radians
1 degree = 0.01745329 radians. Type any value below to convert in either direction — the calculation happens in your browser.
Degrees to Radians formula
Multiply the number of degrees by 0.01745329 to get radians.
radians = degrees × 0.01745329To go the other way: divide the number of radians by 0.01745329, or multiply by 57.29578.
degrees = radians ÷ 0.01745329Degrees to Radians conversion table
| Degrees | Radians |
|---|---|
| 1 ° | 0.01745329 rad |
| 2 ° | 0.03490659 rad |
| 3 ° | 0.05235988 rad |
| 4 ° | 0.06981317 rad |
| 5 ° | 0.08726646 rad |
| 6 ° | 0.1047198 rad |
| 7 ° | 0.122173 rad |
| 8 ° | 0.1396263 rad |
| 9 ° | 0.1570796 rad |
| 10 ° | 0.1745329 rad |
| 15 ° | 0.2617994 rad |
| 20 ° | 0.3490659 rad |
| 25 ° | 0.4363323 rad |
| 30 ° | 0.5235988 rad |
| 40 ° | 0.6981317 rad |
| 50 ° | 0.8726646 rad |
| 75 ° | 1.308997 rad |
| 100 ° | 1.745329 rad |
| 250 ° | 4.363323 rad |
| 500 ° | 8.726646 rad |
| 1,000 ° | 17.453293 rad |
Radians to Degrees conversion table
| Radians | Degrees |
|---|---|
| 1 rad | 57.29578 ° |
| 2 rad | 114.591559 ° |
| 3 rad | 171.887339 ° |
| 4 rad | 229.183118 ° |
| 5 rad | 286.478898 ° |
| 6 rad | 343.774677 ° |
| 7 rad | 401.070457 ° |
| 8 rad | 458.366236 ° |
| 9 rad | 515.662016 ° |
| 10 rad | 572.957795 ° |
About the degree
A degree is one 360th of a full turn, the everyday unit for angles and geographic coordinates.
About the radian
A radian is the angle subtending an arc equal to the radius; a full turn is 2π radians.
Frequently asked questions
How many radians are in a degree?
There are 0.01745329 radians in one degree.
How many degrees are in a radian?
There are 57.29578 degrees in one radian.
Is this conversion exact?
The ratio between the degree and the radian is fixed by definition, so the conversion is exact — the figures shown here are rounded for readability only.
What is 10 degrees in radians?
10 degrees equals 0.1745329 radians.