How to convert turns to degrees
° = tr × 360Multiply the value in turns by 360. To go the other way, multiply by 0.002777777778 (or divide by 360).
A turn is larger than a degree: one turn contains 360 degrees.
Worked examples
- 1 turn (revolution)1 tr × 360 = 360 °
- 5 turns5 tr × 360 = 1,800 °
- 10 turns10 tr × 360 = 3,600 °
- 20 turns20 tr × 360 = 7,200 °
- 100 turns100 tr × 360 = 36,000 °
Turns to degrees conversion table
Values are calculated by the conversion engine and rounded to 8 significant figures.
| Turns (tr) | Degrees (°) |
|---|---|
| 0.1 tr | 36 ° |
| 0.25 tr | 90 ° |
| 0.5 tr | 180 ° |
| 1 tr | 360 ° |
| 2 tr | 720 ° |
| 3 tr | 1,080 ° |
| 4 tr | 1,440 ° |
| 5 tr | 1,800 ° |
| 6 tr | 2,160 ° |
| 7 tr | 2,520 ° |
| 8 tr | 2,880 ° |
| 9 tr | 3,240 ° |
| 10 tr | 3,600 ° |
| Turns (tr) | Degrees (°) |
|---|---|
| 12 tr | 4,320 ° |
| 15 tr | 5,400 ° |
| 20 tr | 7,200 ° |
| 25 tr | 9,000 ° |
| 30 tr | 10,800 ° |
| 40 tr | 14,400 ° |
| 50 tr | 18,000 ° |
| 75 tr | 27,000 ° |
| 100 tr | 36,000 ° |
| 250 tr | 90,000 ° |
| 500 tr | 180,000 ° |
| 1,000 tr | 360,000 ° |
About the units
Turn (tr)
The turn (tr) is a unit of angle. One turn equals 6.283185307 radians (rad).
Degree (°)
One 360th of a full turn. One degree equals 0.01745329252 radians (rad).
Frequently asked questions
How many degrees are in one turn?
There are 360 degrees in one turn, and this value is exact by definition.
How do I convert turns to degrees?
Multiply the number of turns by 360. For example, 10 tr × 360 = 3,600 °.
How many turns are in one degree?
One degree equals 0.002777777778 turns. That is the reverse factor, 1 ÷ 360.
What is 10 turns in degrees?
10 tr = 3,600 °.
Is this tr to ° converter accurate?
Yes. Both units are defined exactly in terms of SI units, so the conversion factor is exact; results are shown to 12 significant figures by default and you can change precision in the converter. Calculations run in your browser using the same tested engine that generated this page.