Degrees to radians
1 degree in radians
1 ° = 0.017453 rad
rad = ° × 0.01745329252
To convert degrees to radians, multiply by 0.01745329252. The table below gives the values people look up most often, and the converter works for any number.
Degrees to radians table
| Degrees | Radians |
|---|---|
| 1 ° | 0.017453 |
| 2 ° | 0.034907 |
| 3 ° | 0.05236 |
| 4 ° | 0.069813 |
| 5 ° | 0.087266 |
| 10 ° | 0.17453 |
| 15 ° | 0.2618 |
| 20 ° | 0.34907 |
| 25 ° | 0.43633 |
| 30 ° | 0.5236 |
| 40 ° | 0.69813 |
| 50 ° | 0.87266 |
| 75 ° | 1.308997 |
| 100 ° | 1.745329 |
| 250 ° | 4.363323 |
| 500 ° | 8.726646 |
| 1,000 ° | 17.45329 |
How the conversion works
The relationship is rad = ° × 0.01745329252. Both units measure angle, so the conversion is a fixed factor that never changes.
Common questions
- How many radians are in one degree?
- One degree equals 0.017453 radians. rad = ° × 0.01745329252.
- How do you convert degrees to radians?
- Use rad = ° × 0.01745329252. So 10 ° is 0.17453 rad.
- How many degrees are in one radian?
- One radian equals 57.29578 degrees, which is the reverse of the conversion above.
Related pages
- Radians to Degrees The reverse conversion
Sources
- Guide for the Use of the International System of Units (SP 811) — NIST (Public domain (US Government))
- The International System of Units (SI Brochure) — Bureau International des Poids et Mesures
- Calculated on this page — At One Place