Convert turn to radian
Here you can quickly calculate how many radian fit in one turn.
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- scroll: formula · table · questions -
- 1 tr = 6.283185 rad
- 1 rad = 0.159155 tr
Example: turn to radian
- 1 turn = 6.283185 radian
Turn to radian conversion table
| turn | radian |
|---|---|
| 1 | 6.283185 |
| 30 | 188.495559 |
| 45 | 282.743339 |
| 60 | 376.991118 |
| 90 | 565.486678 |
| 180 | 1130.973355 |
| 270 | 1696.460033 |
| 360 | 2261.946711 |
Turn to radian formula
To convert turn to radian, multiply by 6.283185.
1 tr = 6.283185 rad
Example: 1 turn = 6.283185 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.
Quick turn and radian conversion quiz
Score:
0
20.4 turn equals 128 radian.
Correct answer: 20.4 turn = 128 radian.
14.2 turn equals 98.1 radian.
Correct answer: 14.2 turn = 89.2 radian.
8.9 radian equals 1.27 turn.
Correct answer: 8.9 radian = 1.42 turn.