Degrees to Turns
Type a value in Degrees and get the result in Turns, calculated exactly.
90 Degrees = 0.25 Turns
Precision
Exact factorThis result is exact.
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Turn either dial: drag it, use the arrow keys, or scroll while it has focus. Both cover the same range.
Range -50 – 100 ° = -0.138889 – 0.277778 tr
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Formula
tr = ° ÷ 360
To convert Degrees to Turns, divide the value by 360.
Worked examples
- 0 ° ÷ 360 = 0 tr
- 90 ° ÷ 360 = 0.25 tr
- 100 ° ÷ 360 ≈ 0.2777777778 tr
This factor is exact by definition.
Conversion table
| Degrees (°) | Turns (tr) |
|---|---|
| 1 | ≈ 0.002777778 |
| 5 | ≈ 0.01388889 |
| 10 | ≈ 0.02777778 |
| 15 | ≈ 0.04166667 |
| 30 | ≈ 0.08333333 |
| 45 | 0.125 |
| 60 | ≈ 0.1666667 |
| 90 | 0.25 |
| 120 | ≈ 0.3333333 |
| 135 | 0.375 |
| 180 | 0.5 |
| 270 | 0.75 |
| 360 | 1 |
Values marked ≈ are rounded; the rest are exact.
Reverse table: Turns to Degrees
| Turns (tr) | Degrees (°) |
|---|---|
| 1 | 360 |
| 5 | 1,800 |
| 10 | 3,600 |
| 15 | 5,400 |
| 30 | 10,800 |
| 45 | 16,200 |
| 60 | 21,600 |
| 90 | 32,400 |
| 120 | 43,200 |
| 135 | 48,600 |
| 180 | 64,800 |
| 270 | 97,200 |
| 360 | 129,600 |
Unit definitions
- Degrees °
- One 360th of a full turn.
- Turns tr
- One full revolution: exactly 360 degrees.
Questions people ask
Degrees to Turns: what is the conversion factor?
One ° is ≈ 0.002777777778 tr.
How do I convert Degrees to Turns?
Use the formula above. For example, 90 ° = 0.25 tr.
Is the conversion exact?
Yes. Both units have exact definitions, so the factor is exact; a result is only rounded when its decimals never end.
Factors checked 19 October 2026.