# Circles to Gradians Conversion

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

**Results in Gradians:**

^{g}

## How to Convert Circles to Gradians

To convert a circle measurement to a gradian measurement, multiply the angle by the conversion ratio.

Since one circle is equal to 400 gradians, you can use this simple formula to convert:

The angle in gradians is equal to the circles multiplied by 400.

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

^{g}

### How Many Gradians are in a Circle?

There are **400** gradians in a circle, which is why we use this value in the formula above.

1 cir = 400^{g}

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

## 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.

## Gradians

A gradian is equal to 1/400 of a revolution or circle, or 9/10°.
The grad, or gon, is more precisely defined as π/200, or 1.570796 × 10^{-2} radians.^{[1]}

This unit simplifies the measurements of right angles, as 90° is equal to 100 gradians.

Gradians | Degrees |
---|---|

0 grad | 0° |

100 grad | 90° |

200 grad | 180° |

300 grad | 270° |

400 grad | 360° |

A gradian is sometimes also referred to as a grad, gon, or grade. Gradians can be abbreviated as * ^{g}*, and are also sometimes abbreviated as

*gr*or

*grd*. For example, 1 gradian can be written as 1

^{g}, 1 gr, or 1 grd.

In formal expressions, the slash, or solidus (/), is used to separate units used to indicate division in an expression.

## Circle to Gradian Conversion Table

Circles | Gradians |
---|---|

1 cir | 400^{g} |

2 cir | 800^{g} |

3 cir | 1,200^{g} |

4 cir | 1,600^{g} |

5 cir | 2,000^{g} |

6 cir | 2,400^{g} |

7 cir | 2,800^{g} |

8 cir | 3,200^{g} |

9 cir | 3,600^{g} |

10 cir | 4,000^{g} |

11 cir | 4,400^{g} |

12 cir | 4,800^{g} |

13 cir | 5,200^{g} |

14 cir | 5,600^{g} |

15 cir | 6,000^{g} |

16 cir | 6,400^{g} |

17 cir | 6,800^{g} |

18 cir | 7,200^{g} |

19 cir | 7,600^{g} |

20 cir | 8,000^{g} |

21 cir | 8,400^{g} |

22 cir | 8,800^{g} |

23 cir | 9,200^{g} |

24 cir | 9,600^{g} |

25 cir | 10,000^{g} |

26 cir | 10,400^{g} |

27 cir | 10,800^{g} |

28 cir | 11,200^{g} |

29 cir | 11,600^{g} |

30 cir | 12,000^{g} |

31 cir | 12,400^{g} |

32 cir | 12,800^{g} |

33 cir | 13,200^{g} |

34 cir | 13,600^{g} |

35 cir | 14,000^{g} |

36 cir | 14,400^{g} |

37 cir | 14,800^{g} |

38 cir | 15,200^{g} |

39 cir | 15,600^{g} |

40 cir | 16,000^{g} |

## References

- Ambler Thompson and Barry N. Taylor, Guide for the Use of the International System of Units (SI),
*National Institute of Standards and Technology*, https://physics.nist.gov/cuu/pdf/sp811.pdf