The degree
The degree (°) divides a full rotation into 360 equal parts, a convention traced to Babylonian sexagesimal astronomy. It is the everyday unit for angles in navigation, geography (latitude/longitude), construction, and general use.
Degrees to Turns Converter
1 ° = 0.00277778 tr (degree → turn)
1 ° = 0.00277778 tr
1 degree equals 0.00277778 turns. To convert degrees to turns, multiply the degree value by 0.00277778. For quick reference: 1 ° = 0.00277778 tr, 5 ° = 0.0138889 tr, 10 ° = 0.0277778 tr, 100 ° = 0.277778 tr.
Formula
Turns = Degrees × 0.00277778Quick
How to convert degrees to turns
Take your value
Start with your value in degrees.
Multiply by 0.00277778
Multiply the degree value by 0.00277778. This is the exact conversion factor from degrees to turns.
Read the result
The product is your value in turns. For example, 5 ° × 0.00277778 = 0.0138889 tr.
Conversion formula
The exact factor from degrees to turns is 0.00277778.
Turns = Degrees × 0.00277778
Degrees to Turns conversion table
Fifty common reference values, hand-picked for skim utility. Use the calculator above for any value not listed.
| Degrees (°) | Turns (tr) |
|---|---|
| 0.1 ° | 0.00027778 tr |
| 0.25 ° | 0.00069444 tr |
| 0.5 ° | 0.0013889 tr |
| 1 ° | 0.0027778 tr |
| 2 ° | 0.0055556 tr |
| 3 ° | 0.0083333 tr |
| 4 ° | 0.011111 tr |
| 5 ° | 0.013889 tr |
| 6 ° | 0.016667 tr |
| 7 ° | 0.019444 tr |
| 8 ° | 0.022222 tr |
| 9 ° | 0.025 tr |
| 10 ° | 0.027778 tr |
| 11 ° | 0.030556 tr |
| 12 ° | 0.033333 tr |
| 13 ° | 0.036111 tr |
| 14 ° | 0.038889 tr |
| 15 ° | 0.041667 tr |
| 16 ° | 0.044444 tr |
| 18 ° | 0.05 tr |
| 20 ° | 0.055556 tr |
| 22 ° | 0.061111 tr |
| 24 ° | 0.066667 tr |
| 25 ° | 0.069444 tr |
| 28 ° | 0.077778 tr |
| 30 ° | 0.083333 tr |
| 32 ° | 0.088889 tr |
| 36 ° | 0.1 tr |
| 40 ° | 0.11111 tr |
| 45 ° | 0.125 tr |
| 48 ° | 0.13333 tr |
| 50 ° | 0.13889 tr |
| 60 ° | 0.16667 tr |
| 70 ° | 0.19444 tr |
| 75 ° | 0.20833 tr |
| 80 ° | 0.22222 tr |
| 90 ° | 0.25 tr |
| 100 ° | 0.27778 tr |
| 125 ° | 0.34722 tr |
| 150 ° | 0.41667 tr |
| 200 ° | 0.55556 tr |
| 250 ° | 0.69444 tr |
| 300 ° | 0.83333 tr |
| 400 ° | 1.1111 tr |
| 500 ° | 1.3889 tr |
| 600 ° | 1.6667 tr |
| 750 ° | 2.0833 tr |
| 800 ° | 2.2222 tr |
| 900 ° | 2.5 tr |
| 1000 ° | 2.7778 tr |
Real-world reference
A right angle is 90°. A straight line is 180°.
Frequently asked questions
- How many turns are in 1 degree?
- 1 degree equals 0.00277778 turns.
- How do I convert degrees to turns?
- Multiply the degree value by 0.00277778. So x ° × 0.00277778 = the equivalent in tr.
- What is 5 degrees in turns?
- 5 degrees equals 0.0138889 turns.
- What is 10 degrees in turns?
- 10 degrees equals 0.0277778 turns.
- What is 100 degrees in turns?
- 100 degrees equals 0.277778 turns.
- How do I convert back from turns to degrees?
- Multiply the turn value by 360. For example, 1 tr = 360 °.
- Is the degree bigger than the turn?
- No. 1 degree is smaller than 1 turn. It takes 360 degrees to equal 1 turn.
- Are these conversion factors exact?
- The factor is derived directly from the SI definitions of degree and turn; the displayed value is rounded for readability, and the browser computes using IEEE 754 double-precision arithmetic.
About the degree and the turn
The turn
The turn (tr) represents one complete rotation, exactly 360 degrees or 2π radians. It is used for describing full rotations in mechanics, screw threads, and rotational-speed contexts before converting to a rate like RPM.