Convert Minutes Of Arc to Revolutions

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

Results in Revolutions:
Loading content.
1 arcmin = 4.6296E-5 r

How to Convert Minutes Of Arc to Revolutions

Protractors are often used to measure angle

To convert a minute of arc measurement to a revolution measurement, multiply the angle by the conversion ratio. One minute of arc is equal to 4.6296E-5 revolutions, so use this simple formula to convert:

revolutions = minutes of arc × 4.6296E-5

The angle in revolutions is equal to the minutes of arc multiplied by 4.6296E-5.

For example, here's how to convert 5 minutes of arc to revolutions using the formula above.
5' = (5 × 4.6296E-5) = 0.000231 r

Minutes of arc and revolutions 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 revolution, or turn, is equal to 1 rotation around a circle, or 360°. Revolutions are commonly used to measure the speed of rotation, for example when measuring the revolutions per minute (RPM) of a vehicle's engine.

A revolution is sometimes also referred to as a turn, cycle, or complete rotation. Revolutions can be abbreviated as r, and are also sometimes abbreviated as rev or cyc. For example, 1 revolution can be written as 1 r, 1 rev, or 1 cyc.

Minute Of Arc Measurements and Equivalent Revolution Conversions

Common minute of arc values converted to the equivalent revolution value
Minutes Of Arc Revolutions
1' 0.000046296 r
2' 0.000092593 r
3' 0.000139 r
4' 0.000185 r
5' 0.000231 r
6' 0.000278 r
7' 0.000324 r
8' 0.00037 r
9' 0.000417 r
10' 0.000463 r
11' 0.000509 r
12' 0.000556 r
13' 0.000602 r
14' 0.000648 r
15' 0.000694 r
16' 0.000741 r
17' 0.000787 r
18' 0.000833 r
19' 0.00088 r
20' 0.000926 r
21' 0.000972 r
22' 0.001019 r
23' 0.001065 r
24' 0.001111 r
25' 0.001157 r
26' 0.001204 r
27' 0.00125 r
28' 0.001296 r
29' 0.001343 r
30' 0.001389 r
31' 0.001435 r
32' 0.001481 r
33' 0.001528 r
34' 0.001574 r
35' 0.00162 r
36' 0.001667 r
37' 0.001713 r
38' 0.001759 r
39' 0.001806 r
40' 0.001852 r

More Minute Of Arc Angle Conversions

Convert to Radians
1' is equal to 0.000291 radians
Convert to Milliradians
1' is equal to 0.290888 milliradians
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 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.