# Convert Minutes Of Arc to Gradians

Enter the angle in minutes of arc below to get the value converted to gradians.

**Results in Gradians:**

^{g}

## How to Convert Minutes Of Arc to Gradians

To convert a minute of arc measurement to a gradian measurement, divide the angle by the conversion ratio. One gradian is equal to 54 minutes of arc, so use this simple formula to convert:

The angle in gradians is equal to the minutes of arc divided by 54.

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

^{g}

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

## Minutes Of Arc

The minute of arc is a unit of angle equal to 1/60th of one degree, or 1/21,600 of a circle. The minute of arc is also equal to π/10,800 radians.

A minute of arc is sometimes also referred to as an arc minute, arcminute, or minute arc. Minutes of arc can be abbreviated as *arcmin*, and are also sometimes abbreviated as *MOA* or *amin*. For example, 1 minute of arc can be written as 1 arcmin, 1 MOA, or 1 amin.

The minute of arc is most commonly represented using the prime (′), although the single-quote is commonly used. For instance, 1 minute of is most commonly expressed as 1′.

## 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) 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.

## Minute Of Arc to Gradian Conversion Table

Minutes Of Arc | Gradians |
---|---|

1' | 0.018519^{g} |

2' | 0.037037^{g} |

3' | 0.055556^{g} |

4' | 0.074074^{g} |

5' | 0.092593^{g} |

6' | 0.111111^{g} |

7' | 0.12963^{g} |

8' | 0.148148^{g} |

9' | 0.166667^{g} |

10' | 0.185185^{g} |

11' | 0.203704^{g} |

12' | 0.222222^{g} |

13' | 0.240741^{g} |

14' | 0.259259^{g} |

15' | 0.277778^{g} |

16' | 0.296296^{g} |

17' | 0.314815^{g} |

18' | 0.333333^{g} |

19' | 0.351852^{g} |

20' | 0.37037^{g} |

21' | 0.388889^{g} |

22' | 0.407407^{g} |

23' | 0.425926^{g} |

24' | 0.444444^{g} |

25' | 0.462963^{g} |

26' | 0.481481^{g} |

27' | 0.5^{g} |

28' | 0.518519^{g} |

29' | 0.537037^{g} |

30' | 0.555556^{g} |

31' | 0.574074^{g} |

32' | 0.592593^{g} |

33' | 0.611111^{g} |

34' | 0.62963^{g} |

35' | 0.648148^{g} |

36' | 0.666667^{g} |

37' | 0.685185^{g} |

38' | 0.703704^{g} |

39' | 0.722222^{g} |

40' | 0.740741^{g} |

## References

- Barry N. Taylor and Ambler Thompson, NIST Special Publication 330 2008 Edition,
*National Institute of Standards and Technology*, https://www.nist.gov/sites/default/files/documents/2016/12/07/sp330.pdf