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Convert gradian to radian

Here you can quickly calculate how many radian fit in one gradian.
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  • 1 gon = 0.015708 rad
  • 1 rad = 63.661977 gon

Gradian to radian conversion table

gradian radian
1 0.015708
30 0.471239
45 0.706858
60 0.942478
90 1.413717
180 2.827433
270 4.24115
360 5.654867

Gradian to radian formula

To convert gradian to radian, multiply by 0.015708.

1 gon = 0.015708 rad
Example: 1 gradian = 0.015708 radian

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.
  • 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 gradian and radian conversion quiz

Score: 0

193 radian equals 18 400 gradian.

Correct answer: 193 radian = 12 300 gradian.

24.8 gradian equals 0.195 radian.

Correct answer: 24.8 gradian = 0.39 radian.

13.8 gradian equals 0.217 radian.

Correct answer: 13.8 gradian = 0.217 radian.

More angle conversions