Angle
turns to radians Converter
1 turn = 6.2832 rad. Enter any value and the result updates instantly.
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Accuracy and rounding
Radians are common in math and code; degrees are common in maps, tools, and everyday angle measurements.
Degrees, radians, gradians, and turns are fixed ways to express the same rotation.
For display, one or two decimals is usually enough. For code, CAD, or trigonometry, keep more precision.
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 should I watch out for?
Radians, degrees, gradians, and turns all measure the same rotation with different reference scales.
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.