Turns to Degrees
An instant turns-to-degrees converter, with the formula and a reference table below.
| Turns | Degrees |
|---|---|
| 1 turn | 360 ° |
| 2 turn | 720 ° |
| 3 turn | 1080 ° |
| 5 turn | 1800 ° |
| 10 turn | 3600 ° |
| 25 turn | 9000 ° |
| 50 turn | 18000 ° |
| 100 turn | 36000 ° |
How to use
- Enter a value in the Turns field.
- The Degrees figure appears immediately — no button to press.
- Typing in the Degrees field converts back to Turns the same way.
- Use the reference table for the values that come up most often.
Turns to Degrees formula
To convert turns to degrees, multiply by 360.
° = turn × 360
Put another way, one turn is exactly 360 degrees.
Why this factor: the turn and the degree are both defined against the degree, so dividing one definition by the other gives 360 directly. Both definitions are set out in full below.
To go the other way, divide by 360 — or use the Degrees to Turns converter, which is the same calculation reversed.
Worked example
Take 45 turn and multiply by the factor 360: the result is 16200 °.
45 turn × 360 = 16200 °
The converter above does this for any value you type, in either direction.
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.
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.
Turns vs Degrees
The turn and the degree 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 degrees are in a turn?
One turn equals 360 degrees.
What is the formula to convert turns to degrees?
Multiply the number of turns by 360. To reverse it, divide by 360 instead.
How do I convert degrees back to turns?
Divide by 360, which is the same as multiplying by 0.00277777778.
How many degrees are in 10 turns?
10 turn works out to 3600 °.
How is the turn defined?
Exactly 360 degrees, or 2π radians.