The short answer
- 1 ° ≈ 0.01745329 rad
- 1 rad ≈ 57.29578 °
Worked example90 ° × 0.01745329252 = 1.570796 rad
UNIT CONVERSION
← Angle converterDegrees to radians
To convert degrees to radians, multiply the number of degrees by 0.01745329252.
What the units mean
Degree. A degree is 1/360 of a full turn.
Radian. The radian is the angle at the centre of a circle whose arc equals the radius. A full turn is 2π radians.
Degrees to radians table
| Degrees (°) | Radians (rad) |
|---|---|
| 0 | 0 |
| 1 | 0.01745329 |
| 10 | 0.1745329 |
| 15 | 0.2617994 |
| 30 | 0.5235988 |
| 45 | 0.7853982 |
| 57.29578 | 1 |
| 60 | 1.047198 |
| 90 | 1.570796 |
| 120 | 2.094395 |
| 135 | 2.356194 |
| 150 | 2.617994 |
| 180 | 3.141593 |
| 210 | 3.665191 |
| 225 | 3.926991 |
| 270 | 4.712389 |
| 300 | 5.235988 |
| 360 | 6.283185 |
Values are rounded to 7 significant figures.
Common questions
How do I convert degrees to radians?
Multiply the number of degrees by 0.01745329252. For example, 90 ° × 0.01745329252 = 1.570796 rad.
How many radians are in one degree?
One degree is about 0.01745329 radians.
Is this conversion exact?
Yes. Both units have exact legal definitions, so the factor is exact. Values on this page are rounded to 7 significant figures.