Convert Radians to Revolutions

Enter your radian value in the form below to get the value calculated in revolutions.

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Results in Revolutions:
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1 rad = 0.159155 r

How to Convert Radians to Revolutions Using an Easy Conversion Formula

Protractors are often used to measure angle

Convert radians to revolutions with this simple formula:

revolutions = radians × 0.159155

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.

For example:
5 rad = (5 × 0.159155) = 0.795775 r

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.

radians and revolutions are units used to measure angle
Convert Revolutions to Radians

Radian Measurements and Equivalent Revolution Conversions

Common radian values converted to the equivalent revolution value
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