Convert Milliradians to Minutes Of Arc

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

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1 mrad = 3.437747 arcmin

How to Convert Milliradians to Minutes Of Arc

Protractors are often used to measure angle

To convert a milliradian measurement to a minute of arc measurement, multiply the angle by the conversion ratio. One milliradian is equal to 3.437747 minutes of arc, so use this simple formula to convert:

minutes of arc = milliradians × 3.437747

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

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

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

Milliradians

A milliradian is equal to 1/1,000 of a radian. One degree is equal to 0.0573 milliradians 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 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.

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′.

Milliradian Measurements and Equivalent Minute Of Arc Conversions

Common milliradian values converted to the equivalent minute of arc value
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 Angle Conversions

Convert to Radians
1 mrad is equal to 0.001 radians
Convert to Degrees
1 mrad is equal to 0.057296 degrees
Convert to Seconds Of Arc
1 mrad is equal to 206.264806 seconds of arc
Convert to Gradians
1 mrad is equal to 0.063662 gradians
Convert to Revolutions
1 mrad is equal to 0.000159 revolutions
Convert to Circles
1 mrad is equal to 0.000159 circles
Convert to Mils (NATO)
1 mrad is equal to 1.018592 mils (NATO)