Convert Revolutions to Radians

Enter your revolution value in the form below to get the value calculated in radians.

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Results in Radians:
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1 r = 6.283185 rad

How to Convert Revolutions to Radians Using an Easy Conversion Formula

Protractors are often used to measure angle

Convert revolutions to radians with this simple formula:

radians = revolutions × 6.283185

Converting a revolution angle measurement to a radian measurement involves multiplying your angle by the conversion ratio to find the result. A revolution is equal to 6.283185 radians, so to convert simply multiply by 6.283185.

For example:
5 r = (5 × 6.283185) = 31.415927 rad

Revolutions and radians are both units used to measure angle. Learn more about angle and find more angle measurement conversion calculators. A revolution is an angle measurement and can be abbreviated as r, for example 1 r. A radian is an angle measurement and can be abbreviated as rad, for example 1 rad.

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.

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

Revolution Measurements and Equivalent Radian Conversions

Common revolution values converted to the equivalent radian value
Revolutions Radians
1 r 6.2832 rad
2 r 12.57 rad
3 r 18.85 rad
4 r 25.13 rad
5 r 31.42 rad
6 r 37.7 rad
7 r 43.98 rad
8 r 50.27 rad
9 r 56.55 rad
10 r 62.83 rad
11 r 69.12 rad
12 r 75.4 rad
13 r 81.68 rad
14 r 87.96 rad
15 r 94.25 rad
16 r 100.53 rad
17 r 106.81 rad
18 r 113.1 rad
19 r 119.38 rad
20 r 125.66 rad
21 r 131.95 rad
22 r 138.23 rad
23 r 144.51 rad
24 r 150.8 rad
25 r 157.08 rad
26 r 163.36 rad
27 r 169.65 rad
28 r 175.93 rad
29 r 182.21 rad
30 r 188.5 rad
31 r 194.78 rad
32 r 201.06 rad
33 r 207.35 rad
34 r 213.63 rad
35 r 219.91 rad
36 r 226.19 rad
37 r 232.48 rad
38 r 238.76 rad
39 r 245.04 rad
40 r 251.33 rad

More Angle Conversions

Convert to Degrees Angle
1 r is equal to 360 degrees
Convert to Grad Angle
1 r is equal to 400 grad
Convert to Circles Angle
1 r is equal to 1 circles
Convert to Mils Angle
1 r is equal to 6,400 mils