Radians to degrees converter
Degrees (°)
1 radian = 57.29577951 degrees
How to convert radians to degrees
° = rad × 57.2957795131
Multiply the number of radians by 57.2957795131 to get degrees. Going the other way, divide by 57.2957795131 (or multiply by 0.0174532925199).
One radian is exactly defined as 57.2957795131 degrees (to 12 significant figures), and one degree is 0.0174532925199 radians.
Worked examples
- Convert 5 radians: 5 × 57.2957795131 = 286.4788976 286.4788976 degrees.
- Convert 12.5 radians: 12.5 × 57.2957795131 = 716.1972439 716.1972439 degrees.
- Convert 250 radians: 250 × 57.2957795131 = 14,323.94488 14,323.94488 degrees.
Quick-reference table
| 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 |
| ° | 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 |
Related conversions
Frequently asked questions
How many degrees are in 1 radian?
1 radian equals 57.29577951 degrees.
What is the formula to convert radians to degrees?
Use ° = rad × 57.2957795131. Multiply the number of radians by 57.2957795131 to get degrees. Going the other way, divide by 57.2957795131 (or multiply by 0.0174532925199).
What is 100 radians in degrees?
100 radians is 5,729.577951 degrees.