Minutes of Arc to Milliradians Conversion (arcmin to mrad)

Minutes of Arc to Milliradians Converter

Enter the angle in minutes of arc below to convert it to milliradians.

Result in Milliradians:

1 arcmin = 0.290888 mrad

How to Convert Minutes of Arc to Milliradians

To convert a measurement in minutes of arc to a measurement in milliradians, multiply the angle by the following conversion ratio: 0.290888 milliradians/minute of arc.

Since one minute of arc is equal to 0.290888 milliradians, you can use this simple formula to convert:

milliradians = minutes of arc × 0.290888

The angle in milliradians is equal to the angle in minutes of arc multiplied by 0.290888.

For example, here's how to convert 5 minutes of arc to milliradians using the formula above.

milliradians = (5' × 0.290888) = 1.454441 mrad

How Many Milliradians Are in a Minute of Arc?

There are 0.290888 milliradians in a minute of arc, which is why we use this value in the formula above.

1' = 0.290888 mrad

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

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.

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.

Minute of Arc to Milliradian Conversion Table

Table showing various minute of arc measurements converted to milliradians.
Minutes Of Arc	Milliradians
1'	0.290888 mrad
2'	0.581776 mrad
3'	0.872665 mrad
4'	1.1636 mrad
5'	1.4544 mrad
6'	1.7453 mrad
7'	2.0362 mrad
8'	2.3271 mrad
9'	2.618 mrad
10'	2.9089 mrad
11'	3.1998 mrad
12'	3.4907 mrad
13'	3.7815 mrad
14'	4.0724 mrad
15'	4.3633 mrad
16'	4.6542 mrad
17'	4.9451 mrad
18'	5.236 mrad
19'	5.5269 mrad
20'	5.8178 mrad
21'	6.1087 mrad
22'	6.3995 mrad
23'	6.6904 mrad
24'	6.9813 mrad
25'	7.2722 mrad
26'	7.5631 mrad
27'	7.854 mrad
28'	8.1449 mrad
29'	8.4358 mrad
30'	8.7266 mrad
31'	9.0175 mrad
32'	9.3084 mrad
33'	9.5993 mrad
34'	9.8902 mrad
35'	10.18 mrad
36'	10.47 mrad
37'	10.76 mrad
38'	11.05 mrad
39'	11.34 mrad
40'	11.64 mrad

Table showing various minute of arc measurements converted to milliradians.

Minutes Of Arc

Milliradians

0.290888 mrad

0.581776 mrad

0.872665 mrad

1.1636 mrad

1.4544 mrad

1.7453 mrad

2.0362 mrad

2.3271 mrad

2.618 mrad

10'

2.9089 mrad

11'

3.1998 mrad

12'

3.4907 mrad

13'

3.7815 mrad

14'

4.0724 mrad

15'

4.3633 mrad

16'

4.6542 mrad

17'

4.9451 mrad

18'

5.236 mrad

19'

5.5269 mrad

20'

5.8178 mrad

21'

6.1087 mrad

22'

6.3995 mrad

23'

6.6904 mrad

24'

6.9813 mrad

25'

7.2722 mrad

26'

7.5631 mrad

27'

7.854 mrad

28'

8.1449 mrad

29'

8.4358 mrad

30'

8.7266 mrad

31'

9.0175 mrad

32'

9.3084 mrad

33'

9.5993 mrad

34'

9.8902 mrad

35'

10.18 mrad

36'

10.47 mrad

37'

10.76 mrad

38'

11.05 mrad

39'

11.34 mrad

40'

11.64 mrad