Degrees to Turns
Convert degrees to turns (° to turns). 1 ° = 0.00277777777778 turns. Use the calculator, formula and conversion table.
How to convert degrees to turns
Multiply the amount in degrees by 0.00277777777778 to get turns. The displayed factor and results are rounded to 12 significant digits.
turns = ° × 0.00277777777778Worked example
1 ° = 0.00277777777778 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.
Degrees to Turns table
| Degrees (°) | Turns (turns) |
|---|---|
| 0 | 0 |
| 1 | 0.00277777777778 |
| 5 | 0.0138888888889 |
| 10 | 0.0277777777778 |
| 25 | 0.0694444444444 |
| 100 | 0.277777777778 |
| 1,000 | 2.77777777778 |
About this conversion
What is the formula for degrees to turns?
turns = ° × 0.00277777777778. Multiply the amount in degrees by 0.00277777777778 to get turns. The displayed factor and results are rounded to 12 significant digits.
How do I convert back to degrees?
Use the turns to degrees 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.