Radians to degrees – convert rad to deg
Convert radians to degrees (rad to deg) to turn mathematical or engineering angles back into the more familiar degree scale. This page opens the main angle converter with rad → deg pre-selected.
Open the interactive rad → deg converter:
Use main converter (rad → deg) or switch to deg → radOn the homepage you can swap between degrees, radians, gradians and turns with a single dropdown.
Quick reference: radians to degrees
The exact formula is:
degrees = radians × 180 / π
| Radians (rad) | Degrees (°, approx.) |
|---|---|
| 0.524 rad | 30° |
| 0.785 rad | 45° |
| 1.047 rad | 60° |
| 1.571 rad | 90° |
| 3.142 rad | 180° |
| 6.283 rad | 360° |
Why convert radians to degrees?
You might convert rad → ° when you:
- Read angles from a calculator or code library that outputs radians.
- Want to explain a radian-based answer to someone who thinks in degrees.
- Check geometry questions that mix both radians and degrees.
- Relate angular velocity, phase or rotation back to everyday degree values.
More angle converters on this site
The angle engine converts everything via radians internally, so your results stay consistent however you move between units.
Last updated: 3 December 2025.