# Minutes of Arc to Revolutions Converter

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

Results in Revolutions: 1 arcmin = 4.6296E-5 r
Hint: use a scientific notation calculator to convert E notation to decimal

Do you want to convert revolutions to minutes of arc?

## How to Convert Minutes of Arc to Revolutions

To convert a measurement in minutes of arc to a measurement in revolutions, divide the angle by the following conversion ratio: 21,600 minutes of arc/revolution.

Since one revolution is equal to 21,600 minutes of arc, you can use this simple formula to convert:

revolutions = minutes of arc ÷ 21,600

The angle in revolutions is equal to the angle in minutes of arc divided by 21,600.

For example, here's how to convert 50,000 minutes of arc to revolutions using the formula above.
revolutions = (50,000' ÷ 21,600) = 2.314815 r

## 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′.

## What Is a Revolution?

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 to Revolution Conversion Table

Table showing various minute of arc measurements converted to revolutions.
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
100' 0.00463 r
1,000' 0.046296 r
10,000' 0.462963 r
100,000' 4.6296 r