Circles to Degrees Conversion (cir to °)

Circles to Degrees Converter

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

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Result in Degrees:

1 cir = 360°
1 cir = 360° 0′ 0″

How to Convert Circles to Degrees

To convert a measurement in circles to a measurement in degrees, multiply the angle by the following conversion ratio: 360 degrees/circle.

Since one circle is equal to 360 degrees, you can use this simple formula to convert:

degrees = circles × 360

The angle in degrees is equal to the angle in circles multiplied by 360.

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

degrees = (5 cir × 360) = 1,800°

conversion scale showing circles and equivalent degrees angle values

How Many Degrees Are in a Circle?

There are 360 degrees in a circle, which is why we use this value in the formula above.

1 cir = 360°

Circles and degrees 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 Degree?

A degree is a measure of angle equal to 1/360th of a revolution, or circle.^[1] The number 360 has 24 divisors, making it a fairly easy number to work with. There are also 360 days in the Persian calendar year, and many theorize that early astronomers used 1 degree per day.

The degree is an SI accepted unit for angle for use with the metric system. A degree is sometimes also referred to as a degree of arc, arc degree, or arcdegree. Degrees can be abbreviated as °, and are also sometimes abbreviated as deg. For example, 1 degree can be written as 1° or 1 deg.

Degrees can also be expressed using arcminutes and arcseconds as an alternative to using the decimal form. Arcminutes and arcseconds are expressed using the prime (′) and double-prime (″) characters, respectively, although a single-quote and double-quote are often used for convenience.

One arcminute is equal to 1/60th of a degree, and one arcsecond is equal to 1/60th of an arcminute.

Protractors are commonly used to measure angles in degrees. They are semi-circle or full-circle devices with degree markings allowing a user to measure an angle in degrees. Learn more about how to use a protractor or download a printable protractor.

Learn more about degrees.

Circle to Degree Conversion Table

Table showing various circle measurements converted to degrees.
Circles	Degrees
1 cir	360°
2 cir	720°
3 cir	1,080°
4 cir	1,440°
5 cir	1,800°
6 cir	2,160°
7 cir	2,520°
8 cir	2,880°
9 cir	3,240°
10 cir	3,600°
11 cir	3,960°
12 cir	4,320°
13 cir	4,680°
14 cir	5,040°
15 cir	5,400°
16 cir	5,760°
17 cir	6,120°
18 cir	6,480°
19 cir	6,840°
20 cir	7,200°
21 cir	7,560°
22 cir	7,920°
23 cir	8,280°
24 cir	8,640°
25 cir	9,000°
26 cir	9,360°
27 cir	9,720°
28 cir	10,080°
29 cir	10,440°
30 cir	10,800°
31 cir	11,160°
32 cir	11,520°
33 cir	11,880°
34 cir	12,240°
35 cir	12,600°
36 cir	12,960°
37 cir	13,320°
38 cir	13,680°
39 cir	14,040°
40 cir	14,400°

Table showing various circle measurements converted to degrees.

Circles

Degrees

1 cir

360°

2 cir

720°

3 cir

1,080°

4 cir

1,440°

5 cir

1,800°

6 cir

2,160°

7 cir

2,520°

8 cir

2,880°

9 cir

3,240°

10 cir

3,600°

11 cir

3,960°

12 cir

4,320°

13 cir

4,680°

14 cir

5,040°

15 cir

5,400°

16 cir

5,760°

17 cir

6,120°

18 cir

6,480°

19 cir

6,840°

20 cir

7,200°

21 cir

7,560°

22 cir

7,920°

23 cir

8,280°

24 cir

8,640°

25 cir

9,000°

26 cir

9,360°

27 cir

9,720°

28 cir

10,080°

29 cir

10,440°

30 cir

10,800°

31 cir

11,160°

32 cir

11,520°

33 cir

11,880°

34 cir

12,240°

35 cir

12,600°

36 cir

12,960°

37 cir

13,320°

38 cir

13,680°

39 cir

14,040°

40 cir

14,400°

References

Collins Dictionary, Definition of 'degree', https://www.collinsdictionary.com/us/dictionary/english/degree