Protractors are often used to measure angle

Convert Circles to Degrees

Convert from circles to degrees with this simple formula:
degrees = circles × 360
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1 Circle = 360 Degrees

Learn How to Convert Circles to Degrees Using our Conversion Formula

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, 5cir = (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 1cir. A degree is an angle measurement and can be abbreviated as °, for example 1°.

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

More Angle Conversions

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

Circle Measurements and Equivalent Degree Conversions

Common circle values converted to the equivalent degree value
Circles Degrees Circles Degrees Circles Degrees
1 360 21 7,560 41 14,760
2 720 22 7,920 42 15,120
3 1,080 23 8,280 43 15,480
4 1,440 24 8,640 44 15,840
5 1,800 25 9,000 45 16,200
6 2,160 26 9,360 46 16,560
7 2,520 27 9,720 47 16,920
8 2,880 28 10,080 48 17,280
9 3,240 29 10,440 49 17,640
10 3,600 30 10,800 50 18,000
11 3,960 31 11,160 51 18,360
12 4,320 32 11,520 52 18,720
13 4,680 33 11,880 53 19,080
14 5,040 34 12,240 54 19,440
15 5,400 35 12,600 55 19,800
16 5,760 36 12,960 56 20,160
17 6,120 37 13,320 57 20,520
18 6,480 38 13,680 58 20,880
19 6,840 39 14,040 59 21,240
20 7,200 40 14,400 60 21,600