# Gradians to Circles Conversion

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

**Results in Circles:**

^{g}= 0.0025 cir

## How to Convert Gradians to Circles

To convert a gradian measurement to a circle measurement, divide the angle by the conversion ratio. One circle is equal to 400 gradians, so use this simple formula to convert:

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

**For example,**here's how to convert 500 gradians to circles using the formula above.

^{g}= (500 ÷ 400) = 1.25 cir

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

## 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.

## 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.

## Gradian to Circle Conversion Table

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

1^{g} |
0.0025 cir |

2^{g} |
0.005 cir |

3^{g} |
0.0075 cir |

4^{g} |
0.01 cir |

5^{g} |
0.0125 cir |

6^{g} |
0.015 cir |

7^{g} |
0.0175 cir |

8^{g} |
0.02 cir |

9^{g} |
0.0225 cir |

10^{g} |
0.025 cir |

20^{g} |
0.05 cir |

30^{g} |
0.075 cir |

40^{g} |
0.1 cir |

50^{g} |
0.125 cir |

60^{g} |
0.15 cir |

70^{g} |
0.175 cir |

80^{g} |
0.2 cir |

90^{g} |
0.225 cir |

100^{g} |
0.25 cir |

200^{g} |
0.5 cir |

300^{g} |
0.75 cir |

400^{g} |
1 cir |

500^{g} |
1.25 cir |

600^{g} |
1.5 cir |

700^{g} |
1.75 cir |

800^{g} |
2 cir |

900^{g} |
2.25 cir |

1,000^{g} |
2.5 cir |

## 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