Convert Turns to Degrees
Turns to degrees is the conversion you need when you think in full rotations — a wheel, a gear, or a knob — but the number you want is in degrees. A turn is one whole revolution, and one turn is exactly 360 degrees, so the degree number always comes out much larger.
Turns to Degrees conversion table
| Turns (turn) | Degrees (°) |
|---|---|
| 1 | 360 |
| 2 | 720 |
| 3 | 1,080 |
| 5 | 1,800 |
| 10 | 3,600 |
| 20 | 7,200 |
| 50 | 18,000 |
| 100 | 36,000 |
| 500 | 180,000 |
| 1,000 | 360,000 |
The formula
To convert turns to degrees, multiply the number of turns by 360:
degrees = turns × 360
A worked example
Say you spin something three full times and want that in degrees:
3 × 360 = 1080°
So 3 turns is exactly 1080 degrees.
Why the number is exact
A turn is simply the name for one full revolution around a circle, and a full circle is defined as exactly 360 degrees. Because the turn is defined as the whole circle and the degree is defined as a fixed slice of that same circle, the two line up cleanly — one turn is exactly 360 degrees, with nothing rounded away.
When you'll use it
Working with rotations, gears, and windings, where full turns are the intuitive way to count — a half turn is 180°, a quarter turn is 90° — and you need the degree figure for a drawing, a setting, or a calculation.
Frequently asked questions
How many degrees are in a turn?
Exactly 360 degrees. A turn is one full revolution all the way around a circle, and a full circle is defined as 360 degrees — a fixed, exact number.
What is a quarter turn in degrees?
A quarter turn is 90 degrees and a half turn is 180 degrees. Since one full turn is exactly 360 degrees, you just take that fraction of 360.
Is the turns to degrees conversion exact?
Yes. One turn is exactly 360 degrees by definition, so there's nothing rounded away — three turns is exactly 1080 degrees, and so on.