Protractors are often used to measure angle

Convert Radians to Circles

Convert from radians to circles with this simple formula:
circles = radians × 0.159155
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1 Radian = 0.159155 Circles

Learn How to Convert Radians to Circles Using our Conversion Formula

Converting a radian angle measurement to a circle measurement involves multiplying your angle by the conversion ratio to find the result. A radian is equal to 0.159155 circles, so to convert simply multiply by 0.159155.

For example, 5rad = (5 × 0.159155) = 0.795775cir.

Radians and circles are both units used to measure angle. Learn more about angle and find more angle measurement conversion calculators. A radian is an angle measurement and can be abbreviated as rad, for example 1rad. A circle is an angle measurement and can be abbreviated as cir, for example 1cir.

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°.

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

More Angle Conversions

Convert to Degrees Angle
1rad is equal to 57.29578 degrees
Convert to Grad Angle
1rad is equal to 63.661977 grad
Convert to Revolutions Angle
1rad is equal to 0.159155 revolutions
Convert to Mils Angle
1rad is equal to 1,019 mils

Radian Measurements and Equivalent Circle Conversions

Common radian values converted to the equivalent circle value
Radians Circles Radians Circles Radians Circles
1 0.159155 21 3.3423 41 6.5254
2 0.31831 22 3.5014 42 6.6845
3 0.477465 23 3.6606 43 6.8437
4 0.63662 24 3.8197 44 7.0028
5 0.795775 25 3.9789 45 7.162
6 0.95493 26 4.138 46 7.3211
7 1.1141 27 4.2972 47 7.4803
8 1.2732 28 4.4563 48 7.6394
9 1.4324 29 4.6155 49 7.7986
10 1.5915 30 4.7746 50 7.9577
11 1.7507 31 4.9338 51 8.1169
12 1.9099 32 5.093 52 8.2761
13 2.069 33 5.2521 53 8.4352
14 2.2282 34 5.4113 54 8.5944
15 2.3873 35 5.5704 55 8.7535
16 2.5465 36 5.7296 56 8.9127
17 2.7056 37 5.8887 57 9.0718
18 2.8648 38 6.0479 58 9.231
19 3.0239 39 6.207 59 9.3901
20 3.1831 40 6.3662 60 9.5493