Degrees to Turns
Convert degrees to turns instantly — one degree is 0.00277778 turns.
| Degrees | Turns |
|---|---|
| 1 ° | 0.002778 turn |
| 2 ° | 0.005556 turn |
| 3 ° | 0.008333 turn |
| 5 ° | 0.013889 turn |
| 10 ° | 0.027778 turn |
| 25 ° | 0.069444 turn |
| 50 ° | 0.138889 turn |
| 100 ° | 0.277778 turn |
How to use
- Enter a value in the Degrees field.
- The Turns figure appears immediately — no button to press.
- Typing in the Turns field converts back to Degrees the same way.
- Use the reference table for the values that come up most often.
Degrees to Turns formula
The factor from degrees to turns is 0.00277777778.
turn = ° × 0.00277777778
Put another way, one degree is exactly 1/360 of a turn.
Why this factor: the degree and the turn are both defined against the degree, so dividing one definition by the other gives 0.00277777778 directly. Both definitions are set out in full below.
To go the other way, divide by 0.00277777778 — or use the Turns to Degrees converter, which is the same calculation reversed.
Worked example
Take 45 ° and multiply by the factor 0.00277777778: the result is 0.125 turn.
45 ° × 0.00277777778 = 0.125 turn
The converter above does this for any value you type, in either direction.
What is a degree?
A degree is one 360th of a full turn, the everyday unit of angle.
Definition: Exactly 1/360 of a complete revolution. The choice of 360 comes from Babylonian base-60 arithmetic.
Where it is used: Geometry, navigation bearings, latitude and longitude, and CSS rotations.
What is a turn?
A turn is one complete revolution — a full circle.
Definition: Exactly 360 degrees, or 2π radians.
Where it is used: Rotational counting, gear and pulley ratios, and coil and winding specifications.
Degrees vs Turns
The degree and the turn belong to the same family of units, so converting between them is usually a matter of shifting a decimal point or applying a small whole-number factor.
Frequently asked questions
How many turns are in a degree?
One degree equals 0.00277777778 turns.
What is the formula to convert degrees to turns?
Multiply the number of degrees by 0.00277777778. To reverse it, divide by 0.00277777778 instead.
How do I convert turns back to degrees?
Divide by 0.00277777778, which is the same as multiplying by 360.
How many turns are in 10 degrees?
10 ° works out to 0.027778 turn.
How is the degree defined?
Exactly 1/360 of a complete revolution. The choice of 360 comes from Babylonian base-60 arithmetic.