Radians to Degrees
One radian equals 57.29578 degrees.
Degrees = radians ÷ 0.0174532925
By Piero Nanni · Last checked
Radians to Degrees Calculator
How to Convert Radians to Degrees
Formula:
Degrees = radians ÷ 0.0174532925
Worked example:
2.3562 radians ÷ 0.0174532925 = 135.0003 degrees
Radians to Degrees Conversion Table
| rad | ° |
|---|---|
| 0.1 | 5.7296 |
| 0.15 | 8.5944 |
| 0.2 | 11.4592 |
| 0.25 | 14.3239 |
| 0.3 | 17.1887 |
| 0.4 | 22.9183 |
| 0.5 | 28.6479 |
| 0.6 | 34.3775 |
| 0.7 | 40.107 |
| 0.75 | 42.9718 |
| 0.7854 | 45.0001 |
| 0.8 | 45.8366 |
| 0.9 | 51.5662 |
| 1 | 57.2958 |
| 1.5 | 85.9437 |
| 1.5708 | 90.0002 |
| 2 | 114.5916 |
| 2.3562 | 135.0003 |
| 2.5 | 143.2394 |
| 3 | 171.8873 |
| 3.1416 | 180.0004 |
| 4 | 229.1831 |
| 4.7124 | 270.0006 |
| 5 | 286.4789 |
| 6 | 343.7747 |
| 6.2832 | 360.0008 |
About This Conversion
Radians to degrees multiplies by 180/π, about 57.29578. It is the conversion for reading a computed angle back in the units drawings, protractors and specifications use.
One radian being 57.3 degrees is worth remembering, because it makes results easy to sanity check: an answer near 1.57 is a right angle, near 3.14 a straight one, and anything above 6.28 has gone past a full turn and should probably be wrapped back into range.
Programming is where this conversion is most often forgotten. The trigonometric functions in JavaScript, Python and C all take and return radians, so an atan2 result has to be converted before it is shown: atan2(1, 1) returns 0.7854, which is 45°. Angles on screen that never go above about 6.28 are the telltale sign the step was skipped.
Frequently Asked Questions
How many degrees is 1 radian?
One radian is about 57.2958 degrees.
How many degrees is π radians?
π radians is exactly 180 degrees.
How many degrees is 2 radians?
2 radians is about 114.59 degrees.
What is the formula?
Multiply radians by 180/π, which is about 57.29578.
Sources
Related Conversions
Converting the other way? Degrees to Radians
Need a different unit? Open the full angle converter