Degrees to Circles Converter

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


Result in Circles:

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1° = 0.002778 cir

Do you want to convert circles to degrees?

How to Convert Degrees to Circles

To convert a measurement in degrees to a measurement in circles, divide 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:

circles = degrees ÷ 360

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

For example, here's how to convert 500 degrees to circles using the formula above.
circles = (500° ÷ 360) = 1.388889 cir
conversion scale showing degrees and equivalent circles angle values

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

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.

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.

Degree to Circle Conversion Table

Table showing various degree measurements converted to circles.
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
20° 0.055556 cir
30° 0.083333 cir
40° 0.111111 cir
50° 0.138889 cir
60° 0.166667 cir
70° 0.194444 cir
80° 0.222222 cir
90° 0.25 cir
100° 0.277778 cir
200° 0.555556 cir
300° 0.833333 cir
400° 1.1111 cir
500° 1.3889 cir
600° 1.6667 cir
700° 1.9444 cir
800° 2.2222 cir
900° 2.5 cir
1,000° 2.7778 cir


  1. Collins Dictionary, Definition of 'degree',

More Degree & Circle Conversions