Convert Radians to Degrees
rad to ° · angle conversion
What are radians and degrees?
A radian is the angle where the arc length equals the radius; a full circle is 2π radians. A degree is 1/360 of a full circle, the most common everyday angle unit. For reference: a right angle is 90° (π/2 radians), and a full turn is 360° (2π radians).
How to convert radians to degrees
1 rad = 57.2958 °. To convert, multiply the number of radians by 57.2958. For example, 5 rad = 286.479 °, and 20 rad = 1,145.92 °. To go the other way, multiply degrees by 0.0174533 (since 1 ° = 0.0174533 rad).
Radians to Degrees conversion table
| Radians (rad) | Degrees (°) |
|---|---|
| 1 | 57.2958 |
| 15 | 859.437 |
| 30 | 1,718.87 |
| 45 | 2,578.31 |
| 90 | 5,156.62 |
| 180 | 10,313.2 |
| 360 | 20,626.5 |
FAQ
What is 1 rad in °?
1 rad = 57.2958 °. To convert any amount, multiply the number of radians by 57.2958.
How do I convert degrees back to radians?
Go the other way: 1 ° = 0.0174533 rad, so multiply degrees by 0.0174533 to get radians.
Is a radian bigger than a degree?
Yes — 1 rad is the larger unit, equal to 57.2958 °.
Are these angle conversions exact?
They use the standard internationally-defined conversion factors. Results are rounded to six significant figures for readability, which is accurate enough for everyday and most technical use.