Convert Degrees to Circles

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

Results in Circles:

1° = 0.002778 cir

How to Convert Degrees to Circles Using an Easy Conversion Formula

Protractors are often used to measure angle

Save Share Tweet

Convert degrees to circles with this simple formula:

circles = degrees × 0.002778

Converting a degree angle measurement to a circle measurement involves multiplying your angle by the conversion ratio to find the result. A degree is equal to 0.002778 circles, so to convert simply multiply by 0.002778.

For example:

5° = (5 × 0.002778) = 0.013889 cir

Degrees and circles are both units used to measure angle. Learn more about angle and find more angle measurement conversion calculators. A degree is an angle measurement and can be abbreviated as °, for example 1°. A circle is an angle measurement and can be abbreviated as cir, for example 1 cir.

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.

There are 360 degrees in a revolution, or circle. 360 has 24 divisors, and is easily divided by 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120 and 180. This makes 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.

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

degrees and circles are units used to measure angle

Convert Circles to Degrees

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