Convert Radians to Circles

Enter your radian value in the form below to get the value calculated in circles.

Results in Circles:

1 rad = 0.159155 cir

How to Convert Radians to Circles Using an Easy Conversion Formula

Protractors are often used to measure angle

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Convert radians to circles with this simple formula:

circles = radians × 0.159155

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

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