Convert Minutes Of Arc to Milliradians

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

Results in Milliradians:
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1 arcmin = 0.290888 mrad

How to Convert Minutes Of Arc to Milliradians

Protractors are often used to measure angle

To convert a minute of arc measurement to a milliradian measurement, multiply the angle by the conversion ratio. One minute of arc is equal to 0.290888 milliradians, so use this simple formula to convert:

milliradians = minutes of arc × 0.290888

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

For example, here's how to convert 5 minutes of arc to milliradians using the formula above.
5' = (5 × 0.290888) = 1.454441 mrad

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

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′.


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.

Minute Of Arc Measurements and Equivalent Milliradian Conversions

Common minute of arc values converted to the equivalent milliradian value
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

More Minute Of Arc Angle Conversions

Convert to Radians
1' is equal to 0.000291 radians
Convert to Degrees
1' is equal to 0.016667 degrees
Convert to Seconds Of Arc
1' is equal to 60 seconds of arc
Convert to Gradians
1' is equal to 0.018519 gradians
Convert to Revolutions
1' is equal to 4.6296E-5 revolutions
Convert to Circles
1' is equal to 4.6296E-5 circles
Convert to Mils (NATO)
1' is equal to 0.296296 mils (NATO)

Unit of Measurement Conversion Made Easy!

There are thousands of units of measure in use across the globe, and converting from one to another can be very difficult since each conversion requires a different formula to derive the result. Our unit of measurement conversion tools are meant to be dead easy. We break the mold of the typical dry and complicated experience. In addition to converting from one measurement to another, we provide the formula so you can see how the conversion is done, use it on you’re own calculator if you need to!

Convert units of length, weight, volume, and area between imperial and metric measures

Understanding the Metric System

The metric system makes it relatively easy to convert from one metric unit to another metric unit. The metric system uses a base unit, think meters or grams, and a prefix such as kilo or milli. The prefixes differ from the base units by differing powers of 10. So to convert within the metric system it’s usually a matter of multiplying or dividing by one of the powers of 10.

Here is a list of some of the common metric prefixes:

  • “kilo” – 1,000x larger
  • “hecto” – 100x larger
  • “deca” – 10x larger
  • “deci” – 10x smaller
  • “centi” – 100x smaller
  • “milli” – 1,000x smaller

There is a helpful mnemonic for remembering the prefixes: “King Henry Died Until Drinking Chocolate Milk.”
The u in Until refers to the base unit.