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Convert radians to degrees
Instant, accurate rad → ° conversion with a live converter, table and formula.
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1 radian = 57.2958 degrees
1 degree = 0.0174533 radians
radians to degrees table
| radians (rad) | degrees (°) |
|---|---|
| 0.5 | 28.6479 |
| 1 | 57.2958 |
| 2 | 114.592 |
| 5 | 286.479 |
| 10 | 572.958 |
| 20 | 1145.92 |
| 50 | 2864.79 |
| 100 | 5729.58 |
| 500 | 28647.89 |
| 1000 | 57295.78 |
Formula
degrees = radians × 57.2958.
Example
10 radians = 572.958 degrees.
What is a radian?
A radian (rad) is the SI angle unit; a full circle is 2π radians.
What is a degree?
A degree (°) is 1/360 of a full circle.
Real-world reference points
A right angle is 90° (π/2 rad); a full turn 360° (2π); one minute on a clock face is 6°.
| Reference | radians | degrees |
|---|---|---|
| Clock minute tick | 0.105 rad | 6 ° |
| 45° ramp | 0.785 rad | 45 ° |
| Right angle | 1.57 rad | 90 ° |
| Full circle | 6.28 rad | 360 ° |
Mistakes to avoid with angle conversions
- Calling Math.sin() with degrees — programming languages default to radians.
- Confusing slope percent with degrees: a 100% grade is 45°, not 90°.
- Mixing gradians (400/turn) from surveying tools with degrees (360/turn).
Frequently asked questions
How many degrees in a radians?+
1 radian = 57.2958 degrees.
How do I convert radians to degrees?+
Enter the value in the radians box above and the degrees value appears instantly. You can also type in the degrees box to convert the other way.
Is this rad to ° converter free?+
Yes — it is 100% free, needs no sign-up, and runs entirely in your browser.