# Milliradians to Minutes of Arc Converter

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

## Result in Minutes of Arc:

Do you want to convert minutes of arc to milliradians?

## How to Convert Milliradians to Minutes of Arc

To convert a measurement in milliradians to a measurement in minutes of arc, multiply the angle by the following conversion ratio: 3.437747 minutes of arc/milliradian.

Since one milliradian is equal to 3.437747 minutes of arc, you can use this simple formula to convert:

minutes of arc = milliradians × 3.437747

The angle in minutes of arc is equal to the angle in milliradians multiplied by 3.437747.

For example, here's how to convert 5 milliradians to minutes of arc using the formula above.
minutes of arc = (5 mrad × 3.437747) = 17.188734'

### How Many Minutes of Arc Are in a Milliradian?

There are 3.437747 minutes of arc in a milliradian, which is why we use this value in the formula above.

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.

## 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′.

## Milliradian to Minute of Arc Conversion Table

Table showing various milliradian measurements converted to minutes of arc.