# Minutes of Arc to Milliradians Converter

Enter the angle in minutes of arc below to get the value converted to milliradians. Do you want to convert milliradians to minutes of arc?

## How to Convert Minutes of Arc to Milliradians

To convert a measurement in minutes of arc to a measurement in milliradians, multiply the angle by the following conversion ratio: 0.290888 milliradians/minute of arc.

Since one minute of arc is equal to 0.290888 milliradians, you can use this simple formula to convert:

milliradians = minutes of arc × 0.290888

The angle in milliradians is equal to the angle in minutes of arc multiplied by 0.290888.

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

### How Many Milliradians Are in a Minute of Arc?

There are 0.290888 milliradians in a minute of arc, which is why we use this value in the formula above.

## 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 milliradian is equal to 1/1,000 of a radian. One milliradian is equal to 0.0573 degrees and there are 6,283 milliradians in a full revolution/circle. The milliradian is also a commonly used unit in mathematics.

The milliradian is a multiple of the radian, which is the SI derived unit for angle. In the metric system, "milli" is the prefix for thousandths, or 10-3. A milliradian is sometimes also referred to as a mil. Milliradians can be abbreviated as mrad; for example, 1 milliradian can be written as 1 mrad.

## Minute of Arc to Milliradian Conversion Table

Table showing various minute of arc measurements converted to milliradians.