Convert Circles to Degrees

Enter your circle value in the form below to get the value calculated in degrees.

SWAP UNITS
Results in Degrees:
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1 cir = 360°
1 cir = 360° 0' 0"

How to Convert Circles to Degrees Using an Easy Conversion Formula

Protractors are often used to measure angle

Convert circles to degrees with this simple formula:

degrees = circles × 360

Converting a circle angle measurement to a degree measurement involves multiplying your angle by the conversion ratio to find the result. A circle is equal to 360 degrees, so to convert simply multiply by 360.

For example:
5 cir = (5 × 360) = 1,800 °

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

Degrees can also be expressed using minutes (') and seconds (") as an alternative to using the decimal form. A minute is 1/60th of a degree and a second is 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°.

circles and degrees are units used to measure angle
Convert Degrees to Circles

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 Angle Conversions

Convert to Radians Angle
1 cir is equal to 6.283185 radians
Convert to Grad Angle
1 cir is equal to 400 grad
Convert to Revolutions Angle
1 cir is equal to 1 revolutions
Convert to Mils Angle
1 cir is equal to 6,400 mils