Convert degree to radian
Here you can quickly calculate how many radian fit in one degree.
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- 1 ° = 0.017453 rad
- 1 rad = 57.29578 °
Example: degree to radian
- 1 degree = 0.017453 radian
Degree to radian conversion table
| degree | radian |
|---|---|
| 1 | 0.017453 |
| 30 | 0.523599 |
| 45 | 0.785398 |
| 60 | 1.047198 |
| 90 | 1.570796 |
| 180 | 3.141593 |
| 270 | 4.712389 |
| 360 | 6.283185 |
Degree to radian formula
To convert degree to radian, multiply by 0.017453.
1 ° = 0.017453 rad
Example: 1 degree = 0.017453 radian
Common angle conversion mistakes
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The calculator is in the wrong mode. SIN() in a spreadsheet, Math.sin in code and a calculator in radian mode all read 90 as radians, so sin(90) gives about 0.894, not 1. Convert degrees to radians first, or switch the calculator to degree mode.
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A mil is not the same everywhere. The NATO mil is 1/6,400 of a turn, the old Swedish streck 1/6,300, and some armies use 1/6,000. Check which scale the sight or map uses, or the target lands off at long range.
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Gradians and degrees are easy to mix up, since both show as plain numbers on the instrument. A right angle is 90° but 100 gon, and 1 gon is smaller than 1°. Check the unit setting on the instrument.
Quick degree and radian conversion quiz
Score:
0
17 radian equals 974 degree.
Correct answer: 17 radian = 974 degree.
14.5 degree equals 0.253 radian.
Correct answer: 14.5 degree = 0.253 radian.
126 radian equals 7 220 degree.
Correct answer: 126 radian = 7 220 degree.
172 degree equals 6 radian.
Correct answer: 172 degree = 3 radian.