# Radians to Circles Conversion

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

**Results in Circles:**

## How to Convert Radians to Circles

To convert a radian measurement to a circle measurement, multiply the angle by the conversion ratio. One radian is equal to 0.159155 circles, so use this simple formula to convert:

The angle in circles is equal to the radians multiplied by 0.159155.

**For example,**here's how to convert 5 radians to circles using the formula above.

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

## Radians

A radian is the measurement of angle equal to the start to the end of an arc divided by the radius of the circle or arc.^{[1]} 1 radian is equal to 180/π, or about 57.29578°. There are about 6.28318 radians in a circle.

The radian is the SI derived unit for angle in the metric system. Radians can be abbreviated as *rad*, and are also sometimes abbreviated as * ^{c}*,

*r*, or

*. For example, 1 radian can be written as 1 rad, 1*

^{R}^{c}, 1 r, or 1

^{R}.

Radians are often expressed using their definition. The formula to find radians is θ = s/r, where the angle in radians θ is equal to the arc length s divided by the radius r. Thus, radians may also be expressed as the formula of arc length over the radius.

## Circles

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.

## Radian to Circle Conversion Table

Radians | Circles |
---|---|

1 rad | 0.159155 cir |

2 rad | 0.31831 cir |

3 rad | 0.477465 cir |

4 rad | 0.63662 cir |

5 rad | 0.795775 cir |

6 rad | 0.95493 cir |

7 rad | 1.1141 cir |

8 rad | 1.2732 cir |

9 rad | 1.4324 cir |

10 rad | 1.5915 cir |

11 rad | 1.7507 cir |

12 rad | 1.9099 cir |

13 rad | 2.069 cir |

14 rad | 2.2282 cir |

15 rad | 2.3873 cir |

16 rad | 2.5465 cir |

17 rad | 2.7056 cir |

18 rad | 2.8648 cir |

19 rad | 3.0239 cir |

20 rad | 3.1831 cir |

21 rad | 3.3423 cir |

22 rad | 3.5014 cir |

23 rad | 3.6606 cir |

24 rad | 3.8197 cir |

25 rad | 3.9789 cir |

26 rad | 4.138 cir |

27 rad | 4.2972 cir |

28 rad | 4.4563 cir |

29 rad | 4.6155 cir |

30 rad | 4.7746 cir |

31 rad | 4.9338 cir |

32 rad | 5.093 cir |

33 rad | 5.2521 cir |

34 rad | 5.4113 cir |

35 rad | 5.5704 cir |

36 rad | 5.7296 cir |

37 rad | 5.8887 cir |

38 rad | 6.0479 cir |

39 rad | 6.207 cir |

40 rad | 6.3662 cir |

## References

- International Bureau of Weights and Measures, The International System of Units, 9th Edition, 2019, https://www.bipm.org/utils/common/pdf/si-brochure/SI-Brochure-9.pdf