Convert Circles to Radians

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

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

How to Convert Circles to Radians Using an Easy Conversion Formula

Protractors are often used to measure angle
Convert circles to radians with this simple formula:
radians = circles × 6.283185

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

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

Circles and radians are both units used to measure angle. Learn more about angle and find more angle measurement conversion calculators. A circle is an angle measurement and can be abbreviated as cir, for example 1cir. 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 circle is the equivalent of 1 revolution around a circle, or 360°.

circles and radians are units used to measure angle
Convert Radians to Circles

Circle Measurements and Equivalent Radian Conversions

Common circle values converted to the equivalent radian value
Circles Radians Circles Radians Circles 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

More Angle Conversions

Convert to Degrees Angle
1cir is equal to 360 degrees
Convert to Grad Angle
1cir is equal to 400 grad
Convert to Revolutions Angle
1cir is equal to 1 revolutions
Convert to Mils Angle
1cir is equal to 6,400 mils