Convert Radian to Degree
Convert Radian to Degree instantly. 1 rad = 57.29578 °. Formula, worked examples and a quick reference table.
Last updated
One radian equals 57.29578 degrees. To convert any number of radians to degrees, multiply by 57.29577951.
The converter above works in both directions and updates as you type. Below you will find the formula, a worked example and a reference table of common values.
Radian to Degree formula
To go the other way, use radian = degree ÷ 57.29577951.
About these units
A radian is the angle at which the arc length equals the radius. A full circle is 2π radians, which is why radians are the natural unit in calculus.
Radian to Degree conversion table
| Radian | Degree |
|---|---|
| 1 rad | 57.2958 ° |
| 2 rad | 114.5916 ° |
| 3 rad | 171.8873 ° |
| 5 rad | 286.4789 ° |
| 10 rad | 572.9578 ° |
| 20 rad | 1,145.9156 ° |
| 25 rad | 1,432.3945 ° |
| 50 rad | 2,864.789 ° |
| 100 rad | 5,729.578 ° |
| 250 rad | 14,323.9449 ° |
| 500 rad | 28,647.8898 ° |
| 1,000 rad | 57,295.7795 ° |
Frequently asked questions
How many degrees are in a radian? +
There are 57.29578 degrees in one radian.
What is 10 rad in °? +
10 rad equals 572.9578 °. Multiply 10 by 57.29577951.
How do I convert degree back to radian? +
Use radian = degree ÷ 57.29577951. The converter above handles both directions, or see our dedicated Degree to Radian page.