How do I convert radians to degrees?
Type a value in either box, and the answer shows it in the other unit as you type.
- Degrees (°)
- 57.29578
1 rad = 57.29578 °.
Degrees (°): 57.29578. 1 rad = 57.29578 °.
Degrees (°) by radians (rad)
How to calculate
Converts radians (rad) to degrees (°) and back, with the exact unit definitions.
Worked examples
Each example is checked against the calculator on every build.
- Radians (rad) 1 gives Degrees (°) 57.29578.Source: Exact unit definitions in NIST SP 811 (2008), Appendix B.8
- Radians (rad) 3.141593 gives Degrees (°) 180.Source: Exact unit definitions in NIST SP 811 (2008), Appendix B.8
- Degrees (°) 180 gives Radians (rad) 3.141593.Source: Exact unit definitions in NIST SP 811 (2008), Appendix B.8
Other questions people ask
How many degrees are in a radian?
1 radian is 57.29578 degrees, from the exact unit definitions (NIST SP 811).
How do I convert radians to degrees?
Multiply by 57.29578: ° = rad × 57.2957795131. For example, 1 rad × 57.29578 = 57.29578 °.
How do I convert degrees back to radians?
Multiply by 0.017453, or type the degrees into the second box and the converter works it out. 1 degree is 0.017453 radians.
How many degrees is π radians?
180°. A full turn is 2π radians or 360°, so π radians is half a turn.
Can an angle be negative?
Yes. A negative angle turns the other way (clockwise in math). −1 radian is −57.29578°. The converter takes negative values.