Circles to Revolutions Conversion (cir to r)

Circles to Revolutions Converter

Enter the angle in circles below to convert it to revolutions.

Result in Revolutions:

1 cir = 1 r

How to Convert Circles to Revolutions

To convert a measurement in circles to a measurement in revolutions, divide the angle by the following conversion ratio: 1 circles/revolution.

Since one revolution is equal to 1 circle, you can use this simple formula to convert:

revolutions = circles ÷ 1

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

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

revolutions = (5 cir ÷ 1) = 5 r

How Many Revolutions Are in a Circle?

There are 1 revolution in a circle, which is why we use this value in the formula above.

1 cir = 1 r

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

What Is a Circle?

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 circle is more commonly used to describe a round, symmetrical shape with no corners or edges than it is to describe plane angle. The shape is described by its radius and circumference.

Learn more about circles.

What Is a Revolution?

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.

Learn more about revolutions.

Circle to Revolution Conversion Table

Table showing various circle measurements converted to revolutions.
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

Table showing various circle measurements converted to revolutions.

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