Radians to Turns
Convert radians to turns (rad to turns). 1 rad = 0.159154943092 turns. Use the calculator, formula and conversion table.
How to convert radians to turns
Multiply the amount in radians by 0.159154943092 to get turns. The displayed factor and results are rounded to 12 significant digits.
turns = rad × 0.159154943092Worked example
1 rad = 0.159154943092 turns. Change the amount in the calculator above to use your own value.
Units and assumptions
A full turn is 360 degrees, 2π radians or 400 gradians. Angles are converted without wrapping, so values above one turn and negative angles are retained.
Calculator results use floating-point arithmetic and are rounded for display. The reference table below uses up to 12 significant digits.
Radians to Turns table
| Radians (rad) | Turns (turns) |
|---|---|
| 0 | 0 |
| 1 | 0.159154943092 |
| 5 | 0.795774715459 |
| 10 | 1.59154943092 |
| 25 | 3.9788735773 |
| 100 | 15.9154943092 |
| 1,000 | 159.154943092 |
About this conversion
What is the formula for radians to turns?
turns = rad × 0.159154943092. Multiply the amount in radians by 0.159154943092 to get turns. The displayed factor and results are rounded to 12 significant digits.
How do I convert back to radians?
Use the turns to radians calculator to reverse this conversion. You can also use Swap units in the calculator above.
Can I use a different pair of units?
Choose another unit in the calculator, or open the angle converter to browse all supported pairs.