Milliradians to Minutes of Arc Converter

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

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1 mrad = 3.437747 arcmin

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.

1 mrad = 3.437747'

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

What Is a Milliradian?

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.

Learn more about milliradians.

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′.

Learn more about minutes of arc.

Milliradian to Minute of Arc Conversion Table

Table showing various milliradian measurements converted to minutes of arc.
Milliradians Minutes Of Arc
1 mrad 3.4377'
2 mrad 6.8755'
3 mrad 10.31'
4 mrad 13.75'
5 mrad 17.19'
6 mrad 20.63'
7 mrad 24.06'
8 mrad 27.5'
9 mrad 30.94'
10 mrad 34.38'
11 mrad 37.82'
12 mrad 41.25'
13 mrad 44.69'
14 mrad 48.13'
15 mrad 51.57'
16 mrad 55'
17 mrad 58.44'
18 mrad 61.88'
19 mrad 65.32'
20 mrad 68.75'
21 mrad 72.19'
22 mrad 75.63'
23 mrad 79.07'
24 mrad 82.51'
25 mrad 85.94'
26 mrad 89.38'
27 mrad 92.82'
28 mrad 96.26'
29 mrad 99.69'
30 mrad 103.13'
31 mrad 106.57'
32 mrad 110.01'
33 mrad 113.45'
34 mrad 116.88'
35 mrad 120.32'
36 mrad 123.76'
37 mrad 127.2'
38 mrad 130.63'
39 mrad 134.07'
40 mrad 137.51'

More Milliradian & Minute of Arc Conversions