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Convert radian to turn

Here you can quickly calculate how many turn fit in one radian.
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  • 1 rad = 0.159155 tr
  • 1 tr = 6.283185 rad

Radian to turn conversion table

radian turn
1 0.159155
30 4.774648
45 7.161972
60 9.549297
90 14.323945
180 28.64789
270 42.971835
360 57.29578

Radian to turn formula

To convert radian to turn, multiply by 0.159155.

1 rad = 0.159155 tr
Example: 1 radian = 0.159155 turn

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.

Quick radian and turn conversion quiz

Score: 0

12.4 radian equals 2.17 turn.

Correct answer: 12.4 radian = 1.97 turn.

0.4 radian equals 0.0637 turn.

Correct answer: 0.4 radian = 0.0637 turn.

5.3 turn equals 38.3 radian.

Correct answer: 5.3 turn = 33.3 radian.

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