The short answer
- 1 rad ≈ 57.29578 °
- 1 ° ≈ 0.01745329 rad
Worked example1 rad × 57.29577951 = 57.29578 °
UNIT CONVERSION
← Angle converterRadians to degrees
To convert radians to degrees, multiply the number of radians by 57.29577951.
What the units mean
Radian. The radian is the angle at the centre of a circle whose arc equals the radius. A full turn is 2π radians.
Degree. A degree is 1/360 of a full turn.
Radians to degrees table
| Radians (rad) | Degrees (°) |
|---|---|
| 0.1 | 5.729578 |
| 0.25 | 14.32394 |
| 0.5 | 28.64789 |
| 0.7853982 | 45 |
| 1 | 57.29578 |
| 1.047198 | 60 |
| 1.570796 | 90 |
| 2 | 114.5916 |
| 2.5 | 143.2394 |
| 3 | 171.8873 |
| 3.141593 | 180 |
| 4 | 229.1831 |
| 4.712389 | 270 |
| 5 | 286.4789 |
| 6 | 343.7747 |
| 6.283185 | 360 |
Values are rounded to 7 significant figures.
Common questions
How do I convert radians to degrees?
Multiply the number of radians by 57.29577951. For example, 1 rad × 57.29577951 = 57.29578 °.
How many degrees are in one radian?
One radian is about 57.29578 degrees.
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.