Convert Circles to Revolutions

Enter the angle in circles below to get the value converted to revolutions.

Results in Revolutions:

1 cir = 1 r

Do you want to convert revolutions to circles?

How to Convert Circles to Revolutions

Protractors are often used to measure angle

To convert a circle measurement to a revolution measurement, multiply the angle by the conversion ratio. One circle is equal to 1 revolution, so use this simple formula to convert:

revolutions = circles × 1

The angle in revolutions is equal to the circles multiplied by 1.

For example, here's how to convert 5 circles to revolutions using the formula above.

5 cir = (5 × 1) = 5 r

Circles and revolutions are both units used to measure angle. Keep reading to learn more about each unit of measure.

Circles

A circle is the equivalent of 1 revolution around a circle, or 360°.

A circle is sometimes also referred to as a revolution. Circles can be abbreviated as cir, for example 1 circle can be written as 1 cir.

A revolution, or turn, 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.

A revolution is sometimes also referred to as a turn, cycle, or complete rotation. Revolutions can be abbreviated as r, and are also sometimes abbreviated as rev or cyc. For example, 1 revolution can be written as 1 r, 1 rev, or 1 cyc.

Circle Measurements and Equivalent Revolution Conversions

Common circle values converted to the equivalent revolution value
Circles	Revolutions
1 cir	1 r
2 cir	2 r
3 cir	3 r
4 cir	4 r
5 cir	5 r
6 cir	6 r
7 cir	7 r
8 cir	8 r
9 cir	9 r
10 cir	10 r
11 cir	11 r
12 cir	12 r
13 cir	13 r
14 cir	14 r
15 cir	15 r
16 cir	16 r
17 cir	17 r
18 cir	18 r
19 cir	19 r
20 cir	20 r
21 cir	21 r
22 cir	22 r
23 cir	23 r
24 cir	24 r
25 cir	25 r
26 cir	26 r
27 cir	27 r
28 cir	28 r
29 cir	29 r
30 cir	30 r
31 cir	31 r
32 cir	32 r
33 cir	33 r
34 cir	34 r
35 cir	35 r
36 cir	36 r
37 cir	37 r
38 cir	38 r
39 cir	39 r
40 cir	40 r