Convert Radians to Revolutions
Enter your radian value in the form below to get the value calculated in revolutions.
How to Convert Radians to Revolutions Using an Easy Conversion Formula
Convert radians to revolutions with this simple formula:
Converting a radian angle measurement to a revolution measurement involves multiplying your angle by the conversion ratio to find the result. A radian is equal to 0.159155 revolutions, so to convert simply multiply by 0.159155.
Radians and revolutions are both units used to measure angle. Learn more about angle and find more angle measurement conversion calculators. A radian is an angle measurement and can be abbreviated as rad, for example 1 rad. A revolution is an angle measurement and can be abbreviated as r, for example 1 r.
A radian is the measurement of the angle from the start to the end of an arc equal to the radius of the circle. 1 radian is equal to 180/π, or about 57.29578°. There are about 6.28318 radians in a circle. The radian is the standard SI unit of measurement for an angle.
A revolution is equal to 1 rotation around a circle, or 360°. Revolutions are commonly used to measure the speed of rotation, for example when measuring the revolutions per minute(RPM) of a vehicle's engine.
Radian Measurements and Equivalent Revolution Conversions
| Radians | Revolutions |
|---|---|
| 1 rad | 0.159155 r |
| 2 rad | 0.31831 r |
| 3 rad | 0.477465 r |
| 4 rad | 0.63662 r |
| 5 rad | 0.795775 r |
| 6 rad | 0.95493 r |
| 7 rad | 1.1141 r |
| 8 rad | 1.2732 r |
| 9 rad | 1.4324 r |
| 10 rad | 1.5915 r |
| 11 rad | 1.7507 r |
| 12 rad | 1.9099 r |
| 13 rad | 2.069 r |
| 14 rad | 2.2282 r |
| 15 rad | 2.3873 r |
| 16 rad | 2.5465 r |
| 17 rad | 2.7056 r |
| 18 rad | 2.8648 r |
| 19 rad | 3.0239 r |
| 20 rad | 3.1831 r |
| 21 rad | 3.3423 r |
| 22 rad | 3.5014 r |
| 23 rad | 3.6606 r |
| 24 rad | 3.8197 r |
| 25 rad | 3.9789 r |
| 26 rad | 4.138 r |
| 27 rad | 4.2972 r |
| 28 rad | 4.4563 r |
| 29 rad | 4.6155 r |
| 30 rad | 4.7746 r |
| 31 rad | 4.9338 r |
| 32 rad | 5.093 r |
| 33 rad | 5.2521 r |
| 34 rad | 5.4113 r |
| 35 rad | 5.5704 r |
| 36 rad | 5.7296 r |
| 37 rad | 5.8887 r |
| 38 rad | 6.0479 r |
| 39 rad | 6.207 r |
| 40 rad | 6.3662 r |
More Angle Conversions
- Convert to Degrees Angle
- 1 rad is equal to 57.29578 degrees
- Convert to Grad Angle
- 1 rad is equal to 63.661977 grad
- Convert to Circles Angle
- 1 rad is equal to 0.159155 circles
- Convert to Mils Angle
- 1 rad is equal to 1,018.59 mils
