Degrees to Radians Converter
Convert degrees to radians instantly. 1 ° = 0.017453 rad. Free two-way converter with the formula and a quick reference table.
How to convert degrees to radians
radians = degrees × 0.017453
One degree equals 0.017453 radians, so to convert degrees to radians you multiply by 0.017453. Going the other way, one radian is 57.2958 degrees. Both units measure angle, so the conversion is an exact ratio that never changes.
10 degrees = 0.174533 radians. Multiply your degree figure by the factor above (or just type it into the box) to convert any amount.
Need the other direction? radians to degrees
degrees to radians table
| degrees (°) | radians (rad) |
|---|---|
| 1 | 0.017453 |
| 2 | 0.034907 |
| 3 | 0.05236 |
| 5 | 0.087266 |
| 10 | 0.174533 |
| 20 | 0.349066 |
| 25 | 0.436332 |
| 50 | 0.872665 |
| 100 | 1.7453 |
| 250 | 4.3633 |
| 500 | 8.7266 |
| 1,000 | 17.4533 |
Frequently asked questions
How many radians are in a degree?
One degree equals 0.017453 radians. So to convert, multiply the number of degrees by 0.017453.
How do I convert degrees to radians?
Multiply by 0.017453, or simply enter the value in the converter above — it does the math instantly and works both ways.
Is this conversion exact?
Yes — both units measure the same quantity, so the ratio is fixed and this uses the standard internationally-agreed factor.