Convert Circles to Radians

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

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Results in Radians:
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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:
5 cir = (5 × 6.283185) = 31.415927 rad

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

More Angle Conversions

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