tier_2 conversion
Convert turn to radian
Convert turn to radian with a verified formula, worked example, conversion table, precision guidance, and reverse conversion.
turn to radian
turn to radian
Quick answer
1 turn = 6.28318530686 radian.
Formula
radian = turn × 6.283185306859627157882474842
Precision
The stored factor is used at full decimal precision; round only the displayed result to the precision required by the task.
How to convert turn to radian
- Enter a value in turn.
- CalculatorHQ converts this pair with the expression y = x × 6.283185306859627157882474842.
- Round the displayed radian value only when needed.
About these units
turn is a unit used in angle conversions. Angle measures the separation or rotation between two directions. radian is a unit used in angle conversions. Angle measures the separation or rotation between two directions. Its recorded symbol is rad.
Explore related conversions
turn to radian conversion table
| turn | radian |
|---|---|
| 0 turn | 0e-27 radian |
| 1 turn | 6.28318530686 radian |
| 5 turn | 31.4159265343 radian |
| 10 turn | 62.8318530686 radian |
| 25 turn | 157.079632671 radian |
| 100 turn | 628.318530686 radian |
Frequently asked questions
How do I convert from turn to radian?
CalculatorHQ converts this pair with the expression y = x × 6.283185306859627157882474842.
What formula does CalculatorHQ use for turn to radian?
radian = turn × 6.283185306859627157882474842
How should I round the result?
The stored factor is used at full decimal precision; round only the displayed result to the precision required by the task.
Can I convert radian back to turn?
Yes. Use the linked reverse conversion, whose formula is validated against this pair with round-trip tests.