Degrees to radians converter
Radians (rad)
1 degree = 0.01745329252 radians
How to convert degrees to radians
rad = ° × 0.0174532925199
Multiply the number of degrees by 0.0174532925199 to get radians. Going the other way, divide by 0.0174532925199 (or multiply by 57.2957795131).
One degree is exactly defined as 0.0174532925199 radians (to 12 significant figures), and one radian is 57.2957795131 degrees.
Worked examples
- Convert 5 degrees: 5 × 0.0174532925199 = 0.0872664626 0.0872664626 radians.
- Convert 12.5 degrees: 12.5 × 0.0174532925199 = 0.2181661565 0.2181661565 radians.
- Convert 250 degrees: 250 × 0.0174532925199 = 4.36332313 4.36332313 radians.
Quick-reference table
| ° | rad |
|---|---|
| 1 | 0.01745329252 |
| 2 | 0.03490658504 |
| 3 | 0.05235987756 |
| 5 | 0.0872664626 |
| 10 | 0.1745329252 |
| 15 | 0.2617993878 |
| 20 | 0.3490658504 |
| 25 | 0.436332313 |
| 50 | 0.872664626 |
| 75 | 1.308996939 |
| 100 | 1.745329252 |
| 1,000 | 17.45329252 |
| rad | ° |
|---|---|
| 1 | 57.29577951 |
| 2 | 114.591559 |
| 3 | 171.8873385 |
| 5 | 286.4788976 |
| 10 | 572.9577951 |
| 15 | 859.4366927 |
| 20 | 1,145.91559 |
| 25 | 1,432.394488 |
| 50 | 2,864.788976 |
| 75 | 4,297.183463 |
| 100 | 5,729.577951 |
| 1,000 | 57,295.77951 |
Related conversions
Frequently asked questions
How many radians are in 1 degree?
1 degree equals 0.01745329252 radians.
What is the formula to convert degrees to radians?
Use rad = ° × 0.0174532925199. Multiply the number of degrees by 0.0174532925199 to get radians. Going the other way, divide by 0.0174532925199 (or multiply by 57.2957795131).
What is 100 degrees in radians?
100 degrees is 1.745329252 radians.