Convert Degrees to Circles

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

Results in Circles:

1° = 0.002778 cir

Do you want to convert circles to degrees?

How to Convert Degrees to Circles

Protractors are often used to measure angle

To convert a degree measurement to a circle measurement, multiply the angle by the conversion ratio. One degree is equal to 0.002778 circles, so use this simple formula to convert:

circles = degrees × 0.002778

The angle in circles is equal to the degrees multiplied by 0.002778.

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

5° = (5 × 0.002778) = 0.013889 cir

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

Degrees

A degree is a measure of angle equal to 1/360th of a revolution, or circle. 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.

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.

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 exmaple, 1 degree can be written as 1° or 1 deg.

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

One minute is equal to 1/60th of a degree and one second is equal to 1/60th of a minute.

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.

Degree Measurements and Equivalent Circle Conversions

Common degree values converted to the equivalent circle value
Degrees	Circles
1°	0.002778 cir
2°	0.005556 cir
3°	0.008333 cir
4°	0.011111 cir
5°	0.013889 cir
6°	0.016667 cir
7°	0.019444 cir
8°	0.022222 cir
9°	0.025 cir
10°	0.027778 cir
11°	0.030556 cir
12°	0.033333 cir
13°	0.036111 cir
14°	0.038889 cir
15°	0.041667 cir
16°	0.044444 cir
17°	0.047222 cir
18°	0.05 cir
19°	0.052778 cir
20°	0.055556 cir
21°	0.058333 cir
22°	0.061111 cir
23°	0.063889 cir
24°	0.066667 cir
25°	0.069444 cir
26°	0.072222 cir
27°	0.075 cir
28°	0.077778 cir
29°	0.080556 cir
30°	0.083333 cir
31°	0.086111 cir
32°	0.088889 cir
33°	0.091667 cir
34°	0.094444 cir
35°	0.097222 cir
36°	0.1 cir
37°	0.102778 cir
38°	0.105556 cir
39°	0.108333 cir
40°	0.111111 cir