# Circle Conversion Calculator

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

**Results:**

## 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

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" | 400^{g} |
1 r | 6,400 mil |

2 cir | 12.566371 rad | 12,566 mrad | 720° | 43,200' | 2,592,000" | 800^{g} |
2 r | 12,800 mil |

3 cir | 18.849556 rad | 18,850 mrad | 1,080° | 64,800' | 3,888,000" | 1,200^{g} |
3 r | 19,200 mil |

4 cir | 25.132741 rad | 25,133 mrad | 1,440° | 86,400' | 5,184,000" | 1,600^{g} |
4 r | 25,600 mil |

5 cir | 31.415927 rad | 31,416 mrad | 1,800° | 108,000' | 6,480,000" | 2,000^{g} |
5 r | 32,000 mil |

6 cir | 37.699112 rad | 37,699 mrad | 2,160° | 129,600' | 7,776,000" | 2,400^{g} |
6 r | 38,400 mil |

7 cir | 43.982297 rad | 43,982 mrad | 2,520° | 151,200' | 9,072,000" | 2,800^{g} |
7 r | 44,800 mil |

8 cir | 50.265482 rad | 50,265 mrad | 2,880° | 172,800' | 10,368,000" | 3,200^{g} |
8 r | 51,200 mil |

9 cir | 56.548668 rad | 56,549 mrad | 3,240° | 194,400' | 11,664,000" | 3,600^{g} |
9 r | 57,600 mil |

10 cir | 62.831853 rad | 62,832 mrad | 3,600° | 216,000' | 12,960,000" | 4,000^{g} |
10 r | 64,000 mil |

11 cir | 69.115038 rad | 69,115 mrad | 3,960° | 237,600' | 14,256,000" | 4,400^{g} |
11 r | 70,400 mil |

12 cir | 75.398224 rad | 75,398 mrad | 4,320° | 259,200' | 15,552,000" | 4,800^{g} |
12 r | 76,800 mil |

13 cir | 81.681409 rad | 81,681 mrad | 4,680° | 280,800' | 16,848,000" | 5,200^{g} |
13 r | 83,200 mil |

14 cir | 87.964594 rad | 87,965 mrad | 5,040° | 302,400' | 18,144,000" | 5,600^{g} |
14 r | 89,600 mil |

15 cir | 94.24778 rad | 94,248 mrad | 5,400° | 324,000' | 19,440,000" | 6,000^{g} |
15 r | 96,000 mil |

16 cir | 100.530965 rad | 100,531 mrad | 5,760° | 345,600' | 20,736,000" | 6,400^{g} |
16 r | 102,400 mil |

17 cir | 106.81415 rad | 106,814 mrad | 6,120° | 367,200' | 22,032,000" | 6,800^{g} |
17 r | 108,800 mil |

18 cir | 113.097336 rad | 113,097 mrad | 6,480° | 388,800' | 23,328,000" | 7,200^{g} |
18 r | 115,200 mil |

19 cir | 119.380521 rad | 119,381 mrad | 6,840° | 410,400' | 24,624,000" | 7,600^{g} |
19 r | 121,600 mil |

20 cir | 125.663706 rad | 125,664 mrad | 7,200° | 432,000' | 25,920,000" | 8,000^{g} |
20 r | 128,000 mil |

## Circle Conversion Calculators

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

## References

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