Circle Conversion Calculator

Enter a value in circles below to convert to another unit of angle.

Results:

Loading content.
 

What Is a Circle?

A circle is a unit used to measure angle.

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.

How Much Is a Circle?

A circle is the equivalent of 1 revolution around a circle, or 360°.

How to Convert Circles

To convert circles to another unit of angle, you need to multiply the value by a conversion factor. A conversion factor is a numerical value used to change the units of a measurement without changing the value.[1]

You can find the conversion factors for circles in the conversion table below.

Then, multiply the angle measurement by the conversion factor to find the equivalent value in the desired unit of measurement.

circles × conversion factor = result

You can also use a calculator, such as one of the converters below, for the conversion.

Circle Conversion Table

Common circle values and equivalent imperial and metric angle measurements
circles radians milliradians degrees minutes of arc seconds of arc gradians revolutions Mils (NATO)
1 cir 6.283185 rad 6,283 mrad 360° 21,600' 1,296,000" 400g 1 r 6,400 mil
2 cir 12.566371 rad 12,566 mrad 720° 43,200' 2,592,000" 800g 2 r 12,800 mil
3 cir 18.849556 rad 18,850 mrad 1,080° 64,800' 3,888,000" 1,200g 3 r 19,200 mil
4 cir 25.132741 rad 25,133 mrad 1,440° 86,400' 5,184,000" 1,600g 4 r 25,600 mil
5 cir 31.415927 rad 31,416 mrad 1,800° 108,000' 6,480,000" 2,000g 5 r 32,000 mil
6 cir 37.699112 rad 37,699 mrad 2,160° 129,600' 7,776,000" 2,400g 6 r 38,400 mil
7 cir 43.982297 rad 43,982 mrad 2,520° 151,200' 9,072,000" 2,800g 7 r 44,800 mil
8 cir 50.265482 rad 50,265 mrad 2,880° 172,800' 10,368,000" 3,200g 8 r 51,200 mil
9 cir 56.548668 rad 56,549 mrad 3,240° 194,400' 11,664,000" 3,600g 9 r 57,600 mil
10 cir 62.831853 rad 62,832 mrad 3,600° 216,000' 12,960,000" 4,000g 10 r 64,000 mil
11 cir 69.115038 rad 69,115 mrad 3,960° 237,600' 14,256,000" 4,400g 11 r 70,400 mil
12 cir 75.398224 rad 75,398 mrad 4,320° 259,200' 15,552,000" 4,800g 12 r 76,800 mil
13 cir 81.681409 rad 81,681 mrad 4,680° 280,800' 16,848,000" 5,200g 13 r 83,200 mil
14 cir 87.964594 rad 87,965 mrad 5,040° 302,400' 18,144,000" 5,600g 14 r 89,600 mil
15 cir 94.24778 rad 94,248 mrad 5,400° 324,000' 19,440,000" 6,000g 15 r 96,000 mil
16 cir 100.530965 rad 100,531 mrad 5,760° 345,600' 20,736,000" 6,400g 16 r 102,400 mil
17 cir 106.81415 rad 106,814 mrad 6,120° 367,200' 22,032,000" 6,800g 17 r 108,800 mil
18 cir 113.097336 rad 113,097 mrad 6,480° 388,800' 23,328,000" 7,200g 18 r 115,200 mil
19 cir 119.380521 rad 119,381 mrad 6,840° 410,400' 24,624,000" 7,600g 19 r 121,600 mil
20 cir 125.663706 rad 125,664 mrad 7,200° 432,000' 25,920,000" 8,000g 20 r 128,000 mil

Circle Conversion Calculators

You can also convert angle using one of our circle converters below.

References

  1. National Institute of Standards & Technology, Unit Conversion, https://www.nist.gov/pml/owm/metric-si/unit-conversion

Other Angle Units