Angle
turns to radians Converter
1 turn = 6.2832 rad. Enter any value and the result updates instantly.
Convert
How to convert turns to radians
- Type the turns value in the calculator.
- Keep turns selected as the from unit and radians selected as the to unit.
- Use the instant result, or copy it with the copy button.
turns to radians chart
| turns | radians |
|---|---|
| 1 turn | 6.2832 rad |
| 2 turn | 12.5664 rad |
| 5 turn | 31.4159 rad |
| 10 turn | 62.8319 rad |
| 25 turn | 157.08 rad |
| 50 turn | 314.16 rad |
| 100 turn | 628.32 rad |
Formula
rad = turn x 6.28318530718
Example: 1 turn = 6.2832 rad.
Source
Angle relationships derived from a full turn equaling 2 pi radians.
Common questions
How do I convert turns to radians?
Enter the turns value in the converter, or multiply by the factor shown in the formula. 1 turn = 6.2832 rad.
What is 1 turn = 6.2832 rad?
1 turn = 6.2832 rad. The chart on this page gives more common turns to radians values.
Where does this angle conversion come from?
Angle relationships derived from a full turn equaling 2 pi radians. ConverterBase uses stable definitions and fixed conversion factors, not live or rounded market data.