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Convert radian to degree

Here you can quickly calculate how many degree fit in one radian.
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- scroll: formula · table · questions -

  • 1 rad = 57.29578 °
  • 1 ° = 0.017453 rad

Example: radian to degree

  • 1 radian = 57.29578 degree

Radian to degree conversion table

radian degree
1 57.29578
30 1718.873385
45 2578.310078
60 3437.746771
90 5156.620156
180 10313.240312
270 15469.860469
360 20626.480625

Radian to degree formula

To convert radian to degree, multiply by 57.29578.

1 rad = 57.29578 °
Example: 1 radian = 57.29578 degree

Common angle conversion mistakes

  • 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.
  • 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.
  • 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 radian and degree conversion quiz

Score: 0

3.8 degree equals 0.0332 radian.

Correct answer: 3.8 degree = 0.0663 radian.

12.7 degree equals 0.222 radian.

Correct answer: 12.7 degree = 0.222 radian.

14.7 degree equals 0.257 radian.

Correct answer: 14.7 degree = 0.257 radian.

More angle conversions