Protractors are often used to measure angle

Convert Revolutions to Radians

Convert from revolutions to radians with this simple formula:
radians = revolutions × 6.283185
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1 Revolution = 6.283185 Radians

Learn How to Convert Revolutions to Radians Using our Conversion Formula

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

More Angle Conversions

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

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