Convert Revolutions to Radians

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

SWAP UNITS
Results in Radians:
Loading content.
1 r = 6.283185 rad

How to Convert Revolutions to Radians

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 the angle by the conversion ratio to find the result. One 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. Revolutions are an angle measurement and can be abbreviated as r, for example 1 r. Radians are 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 Revolution Angle Conversions

Convert to Milliradians
1 r is equal to 6,283.19 milliradians
Convert to Degrees
1 r is equal to 360 degrees
Convert to Gradians
1 r is equal to 400 gradians
Convert to Circles
1 r is equal to 1 circles
Convert to Mils (NATO)
1 r is equal to 6,400 mils (NATO)