Convert Circles to Degrees

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

Results in Degrees:
Loading content.
1 cir = 360°
1 cir = 360° 0′ 0″
Do you want to convert degrees to circles?

How to Convert Circles to Degrees

Protractors are often used to measure angle

To convert a circle measurement to a degree measurement, multiply the angle by the conversion ratio. One circle is equal to 360 degrees, so use this simple formula to convert:

degrees = circles × 360

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

For example, here's how to convert 5 circles to degrees using the formula above.
5 cir = (5 × 360) = 1,800°

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


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 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.

Circle Measurements and Equivalent Degree Conversions

Common circle values converted to the equivalent degree value
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°

More Circle Angle Conversions

Convert to Radians
1 cir is equal to 6.283185 radians
Convert to Milliradians
1 cir is equal to 6,283.19 milliradians
Convert to Minutes Of Arc
1 cir is equal to 21,600 minutes of arc
Convert to Seconds Of Arc
1 cir is equal to 1,296,000 seconds of arc
Convert to Gradians
1 cir is equal to 400 gradians
Convert to Revolutions
1 cir is equal to 1 revolutions
Convert to Mils (NATO)
1 cir is equal to 6,400 mils (NATO)

Unit of Measurement Conversion Made Easy!

There are thousands of units of measure in use across the globe, and converting from one to another can be very difficult since each conversion requires a different formula to derive the result. Our unit of measurement conversion tools are meant to be dead easy. We break the mold of the typical dry and complicated experience. In addition to converting from one measurement to another, we provide the formula so you can see how the conversion is done, use it on you’re own calculator if you need to!

Convert units of length, weight, volume, and area between imperial and metric measures

Understanding the Metric System

The metric system makes it relatively easy to convert from one metric unit to another metric unit. The metric system uses a base unit, think meters or grams, and a prefix such as kilo or milli. The prefixes differ from the base units by differing powers of 10. So to convert within the metric system it’s usually a matter of multiplying or dividing by one of the powers of 10.

Here is a list of some of the common metric prefixes:

  • “kilo” – 1,000x larger
  • “hecto” – 100x larger
  • “deca” – 10x larger
  • “deci” – 10x smaller
  • “centi” – 100x smaller
  • “milli” – 1,000x smaller

There is a helpful mnemonic for remembering the prefixes: “King Henry Died Until Drinking Chocolate Milk.”
The u in Until refers to the base unit.