Convert Revolutions to Radians

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

Results in Radians:

1 r = 6.283185 rad

How to Convert Revolutions to Radians Using an Easy Conversion Formula

Protractors are often used to measure angle

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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:

5r = (5 × 6.283185) = 31.415927rad

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 1r. A radian is an angle measurement and can be abbreviated as rad, for example 1rad.

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	Revolutions	Radians	Revolutions	Radians
1	6.2832	21	131.95	41	257.61
2	12.57	22	138.23	42	263.89
3	18.85	23	144.51	43	270.18
4	25.13	24	150.8	44	276.46
5	31.42	25	157.08	45	282.74
6	37.7	26	163.36	46	289.03
7	43.98	27	169.65	47	295.31
8	50.27	28	175.93	48	301.59
9	56.55	29	182.21	49	307.88
10	62.83	30	188.5	50	314.16
11	69.12	31	194.78	51	320.44
12	75.4	32	201.06	52	326.73
13	81.68	33	207.35	53	333.01
14	87.96	34	213.63	54	339.29
15	94.25	35	219.91	55	345.58
16	100.53	36	226.19	56	351.86
17	106.81	37	232.48	57	358.14
18	113.1	38	238.76	58	364.42
19	119.38	39	245.04	59	370.71
20	125.66	40	251.33	60	376.99