Degrees to Revolutions Converter
Convert degrees (°) to revolutions (turns) (rev), with the formula, a conversion table and exact factors.
Change the values and press Calculate to work out your own figures.
Enter an angle, choose its unit and the unit you want. The answer is exact until it is shown, and the same value appears in every other unit.
Show the working
- 1 ° = 0.00277777777778 rev
- 1 × 0.00277777777778 = 0.00277777777778 rev
How to convert degrees to revolutions
1 rev = 360 °, so divide by 360 to go from degrees to revolutions (turns) (1 ° = 0.00277777777778 rev).
rev = ° ÷ 360 ° = rev × 360
Worked example:
1 ° = 0.00277777777778 rev 5 × 0.00277777777778 = 0.0138888888889 rev
Degrees to revolutions table
| Degrees | Revolutions |
|---|---|
| 1 ° | 0.00277777777778 rev |
| 2 ° | 0.00555555555556 rev |
| 3 ° | 0.00833333333333 rev |
| 4 ° | 0.0111111111111 rev |
| 5 ° | 0.0138888888889 rev |
| 6 ° | 0.0166666666667 rev |
| 7 ° | 0.0194444444444 rev |
| 8 ° | 0.0222222222222 rev |
| 9 ° | 0.025 rev |
| 10 ° | 0.0277777777778 rev |
| 15 ° | 0.0416666666667 rev |
| 20 ° | 0.0555555555556 rev |
| 25 ° | 0.0694444444444 rev |
| 30 ° | 0.0833333333333 rev |
| 40 ° | 0.111111111111 rev |
| 50 ° | 0.138888888889 rev |
| 75 ° | 0.208333333333 rev |
| 100 ° | 0.277777777778 rev |
| 250 ° | 0.694444444444 rev |
| 500 ° | 1.38888888889 rev |
| 1000 ° | 2.77777777778 rev |
About the units
- Degrees (°)
- Degrees, a metric unit. Involves π, which no fraction equals exactly; this converter uses π to 50 significant digits, far beyond the 12 digits shown. Definition: BIPM SI Brochure, 9th edition (SI units, prefixes and units accepted for use with the SI).
- Revolutions (rev)
- Revolutions (turns), a specialised unit. Involves π, which no fraction equals exactly; this converter uses π to 50 significant digits, far beyond the 12 digits shown. Definition: NIST SP 811 Appendix B.8, factors for units listed alphabetically.