# Minutes of Arc to Gradians Converter

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

1 arcmin = 0.018519g

Do you want to convert gradians to minutes of arc?

## How to Convert Minutes of Arc to Gradians

To convert a measurement in minutes of arc to a measurement in gradians, divide the angle by the following conversion ratio: 54 minutes of arc/gradian.

Since one gradian is equal to 54 minutes of arc, you can use this simple formula to convert:

gradians = minutes of arc ÷ 54

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

For example, here's how to convert 5 minutes of arc to gradians using the formula above.
gradians = (5' ÷ 54) = 0.092593g

## What Is a Minute 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′.

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.

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 1g, 1 gr, or 1 grd.

In the expressions of units, the slash, or solidus (/), is used to express a change in one or more units relative to a change in one or more other units.

## Minute of Arc to Gradian Conversion Table

Table showing various minute of arc measurements converted to gradians.
1' 0.018519g
2' 0.037037g
3' 0.055556g
4' 0.074074g
5' 0.092593g
6' 0.111111g
7' 0.12963g
8' 0.148148g
9' 0.166667g
10' 0.185185g
11' 0.203704g
12' 0.222222g
13' 0.240741g
14' 0.259259g
15' 0.277778g
16' 0.296296g
17' 0.314815g
18' 0.333333g
19' 0.351852g
20' 0.37037g
21' 0.388889g
22' 0.407407g
23' 0.425926g
24' 0.444444g
25' 0.462963g
26' 0.481481g
27' 0.5g
28' 0.518519g
29' 0.537037g
30' 0.555556g
31' 0.574074g
32' 0.592593g
33' 0.611111g
34' 0.62963g
35' 0.648148g
36' 0.666667g
37' 0.685185g
38' 0.703704g
39' 0.722222g
40' 0.740741g

## References

1. 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