Radians to Degrees converter
Convert radians (rad) to degrees (°) — results update instantly as you type.
Radians to Degrees
To
1 rad = 57.29577951 °
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How to convert Radians to Degrees
Angles are measured in degrees in everyday life, radians in mathematics and programming, and gradians in surveying. A full circle is 360 degrees, 2π radians, or 400 gradians.
One radian is about 57.2958 degrees — the angle where the arc length equals the radius. To convert degrees to radians, multiply by π/180; to go back, multiply by 180/π.
Formula
rad × 57.2957795131 = °
Multiply your radians value by 57.2957795131 to get degrees. For the reverse, divide by the same factor.
Radians to Degrees conversion table
| Radians | Degrees |
|---|---|
| 1 rad | 57.29578 ° |
| 2 rad | 114.591559 ° |
| 5 rad | 286.478898 ° |
| 10 rad | 572.957795 ° |
| 25 rad | 1,432.394488 ° |
| 100 rad | 5,729.577951 ° |
Common use cases
- Trigonometry homework between degrees and radians
- Programming (most math libraries use radians)
- Surveying and civil engineering with gradians
- GPS bearing and navigation calculations
Frequently asked questions
Exactly π radians (about 3.14159). A full 360° circle is 2π radians.