Convert Degrees to Circles

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

Results in Circles:
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1° = 0.002778 cir
Do you want to convert circles to degrees?

How to Convert Degrees to Circles

conversion scale showing degrees and equivalent circles angle values

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.


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.

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 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.

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°.

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
0.002778 cir
0.005556 cir
0.008333 cir
0.011111 cir
0.013889 cir
0.016667 cir
0.019444 cir
0.022222 cir
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

More Degree Angle Conversions

Convert to Radians
1° is equal to 0.017453 radians
Convert to Milliradians
1° is equal to 17.453293 milliradians
Convert to Minutes Of Arc
1° is equal to 60 minutes of arc
Convert to Seconds Of Arc
1° is equal to 3,600 seconds of arc
Convert to Gradians
1° is equal to 1.111111 gradians
Convert to Revolutions
1° is equal to 0.002778 revolutions
Convert to Mils (NATO)
1° is equal to 17.777778 mils (NATO)