Convert Milliradians to Minutes Of Arc

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

Results in Minutes Of Arc:

1 mrad = 3.437747 arcmin

Do you want to convert minutes of arc to milliradians?

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'