Radians to Revolutions Converter
Convert radians (rad) 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 rad = 0.159154943092 rev
- 1 × 0.159154943092 = 0.159154943092 rev
How to convert radians to revolutions
1 rad = 0.159154943092 rev, so multiply by 0.159154943092 to go from radians to revolutions (turns). Going the other way, 1 rev = 6.28318530718 rad.
rev = rad × 0.159154943092 rad = rev × 6.28318530718
Worked example:
1 rad = 0.159154943092 rev 5 × 0.159154943092 = 0.795774715459 rev
Radians to revolutions table
| Radians | Revolutions |
|---|---|
| 1 rad | 0.159154943092 rev |
| 2 rad | 0.318309886184 rev |
| 3 rad | 0.477464829276 rev |
| 4 rad | 0.636619772368 rev |
| 5 rad | 0.795774715459 rev |
| 6 rad | 0.954929658551 rev |
| 7 rad | 1.11408460164 rev |
| 8 rad | 1.27323954474 rev |
| 9 rad | 1.43239448783 rev |
| 10 rad | 1.59154943092 rev |
| 15 rad | 2.38732414638 rev |
| 20 rad | 3.18309886184 rev |
| 25 rad | 3.9788735773 rev |
| 30 rad | 4.77464829276 rev |
| 40 rad | 6.36619772368 rev |
| 50 rad | 7.95774715459 rev |
| 75 rad | 11.9366207319 rev |
| 100 rad | 15.9154943092 rev |
| 250 rad | 39.788735773 rev |
| 500 rad | 79.5774715459 rev |
| 1000 rad | 159.154943092 rev |
About the units
- Radians (rad)
- Radians, a metric unit. 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.