radians to degrees
Convert radian to degree — instant, free, with the formula shown.
1 rad=57.29577951 °
How to convert radian to degree
To convert radian to degree, multiply by 57.29577951:
° = rad × 57.29577951
For example, 10 rad × 57.29578 = 572.95779513 °.
rad to ° conversion table
| radians (rad) | degrees (°) |
|---|---|
| 1 rad | 57.29577951 ° |
| 2 rad | 114.59155903 ° |
| 5 rad | 286.47889757 ° |
| 10 rad | 572.95779513 ° |
| 25 rad | 1432.39448783 ° |
| 50 rad | 2864.78897565 ° |
| 100 rad | 5729.57795131 ° |
| 250 rad | 14323.94487827 ° |
| 500 rad | 28647.88975654 ° |
| 1000 rad | 57295.77951308 ° |
Other radian conversions
Convert to degree from another unit
rad to ° — frequently asked
How many degrees are in 1 radian?
1 radian = 57.29577951 degrees (rad × 57.29578 = °).
What is the formula to convert radian to degree?
Multiply your radian value by 57.29577951 to get degree.
How do I convert 10 radians to degrees?
10 rad = 572.95779513 °. For 100 rad the answer is 5729.57795131 °. Use the calculator on this page for any other value.
When to convert radian to degree
1Mathematics and trigonometry (radians)
2Surveying and navigation (degrees, minutes, seconds)
3Engineering (mrad for laser sights, optics)
4Astronomy (arc-seconds for stellar parallax)
Angle conversion — common questions
Why are radians used in math instead of degrees?
Because in radians, derivatives and series of trig functions take their simplest form (d/dx sin(x) = cos(x) only when x is in radians).
How many degrees in 1 radian?
1 rad = 180/π ≈ 57.2958°.
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