Convert Radian to Degree
Use this free converter to change radians (rad) into degrees (°). Radian and degree both measure angle. As a quick reference, 1 rad equals 57.29578 °, and 1 ° equals 0.017453293 rad.
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Degree (°)
57.29578
1 rad = 57.29578 °
Angle conversion table
| Radian | Degree |
|---|---|
| 0.01 | 0.5729578 |
| 0.1 | 5.729578 |
| 0.5 | 28.64789 |
| 1 | 57.29578 |
| 2 | 114.59156 |
| 3 | 171.88734 |
| 5 | 286.4789 |
| 10 | 572.9578 |
| 20 | 1145.9156 |
| 25 | 1432.3945 |
| 50 | 2864.789 |
| 100 | 5729.578 |
| 1,000 | 57295.78 |
How to convert Radian to Degree
Multiply the radian value by 57.29578 to get degrees.
- Enter the number of radians you want to convert.
- The converter instantly shows the equivalent value in degrees.
- Worked example: 15 rad × 57.29578 = 859.43669 °.
- Use the swap button to reverse the conversion (degree to radian).
About these units
Radian (rad)
- Definition
- A radian (rad) is the SI angle for which the arc length equals the radius; a full circle is 2π radians.
- History
- The concept was formalised in the 19th century and named in 1873.
- Current use
- Radians are the standard angle unit in mathematics and physics.
Degree (°)
- Definition
- A degree (°) is an angle equal to 1/360 of a full turn.
- History
- The 360-degree circle descends from Babylonian astronomy and its base-60 number system.
- Current use
- Degrees measure angles in navigation, geometry, and everyday use.
Frequently asked questions
How many degrees are in a radian?
There are 57.29578 ° in 1 rad. To convert, multiply the number of radians by 57.29578.
How do I convert radians to degrees?
Multiply the radian value by 57.29578 to get degrees. For example, 10 rad = 572.9578 °.
Is this radian-to-degree converter free?
Yes. This converter is completely free, runs entirely in your browser, and requires no sign-up. Your inputs never leave your device.
Convert Radian to other angle units
| Unit | 1 Radian equals |
|---|---|
| Degree (°) | 57.29578 ° |
| Gradian (grad) | 63.661977 grad |
| Arcminute (') | 3437.7468 ' |
| Arcsecond (") | 206264.81 " |
| Turn (turn) | 0.15915494 turn |