Milliradians to Minutes of Arc Conversion (mrad to arcmin)

Milliradians to Minutes of Arc Converter

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

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'

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'