Radian (rad)
A radian is the SI unit of angle — the angle subtended when arc length equals radius, about 57.3 degrees.
Radians appear in trigonometry, physics formulas, and programming math libraries.
Convert radian to degree instantly. Type in either field — results update live.
Selected rad values converted to ° using the exact factor from this tool.
| rad | ° |
|---|---|
| 0.01 | 0.5729577951 |
| 0.1 | 5.7295779513 |
| 1 | 57.2957795131 |
| 2 | 114.5915590262 |
| 3 | 171.8873385392 |
| 5 | 286.4788975654 |
| 10 | 572.9577951308 |
| 20 | 1,145.9155902616 |
| 50 | 2,864.7889756541 |
| 100 | 5,729.5779513082 |
| 1,000 | 57,295.7795130823 |
Exact conversion factors in both directions, plus a worked example.
1 rad = 57.2957795131 °
1 ° = 0.0174532925 rad
To convert radian to degree, multiply by 57.2957795131.
To convert degree to radian, multiply by 0.0174532925.
Example: convert 10 rad to °
10 × 57.2957795131 = 572.9577951308 °
Short background on the units used in this conversion.
A radian is the SI unit of angle — the angle subtended when arc length equals radius, about 57.3 degrees.
Radians appear in trigonometry, physics formulas, and programming math libraries.
A degree is 1/360 of a full circle — the everyday unit for angles, latitude, and compass bearings.
Degrees measure roof pitch, camera field of view, map coordinates, and classroom geometry.
° = rad × 57.2957795131rad = ° × 0.0174532925, using the same exact factors as this converter.