Minutes Of Arc to Revolutions Conversion

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

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

How to Convert Minutes Of Arc to Revolutions

To convert a minute of arc measurement to a revolution measurement, divide the angle by the conversion ratio.

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 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.
50,000' = (50,000 ÷ 21,600) = 2.314815 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 to Revolution Conversion Table

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

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