Revolutions to Minutes of Arc Conversion (r to arcmin)

Revolutions to Minutes of Arc Converter

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

Result in Minutes of Arc:

1 r = 21,600 arcmin

How to Convert Revolutions to Minutes of Arc

To convert a measurement in revolutions to a measurement in minutes of arc, multiply 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:

minutes of arc = revolutions × 21,600

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

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

minutes of arc = (5 r × 21,600) = 108,000'

How Many Minutes of Arc Are in a Revolution?

There are 21,600 minutes of arc in a revolution, which is why we use this value in the formula above.

1 r = 21,600'

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

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.

Learn more about revolutions.

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.

Revolution to Minute of Arc Conversion Table

Table showing various revolution measurements converted to minutes of arc.
Revolutions	Minutes Of Arc
0.0001 r	2.16'
0.0002 r	4.32'
0.0003 r	6.48'
0.0004 r	8.64'
0.0005 r	10.8'
0.0006 r	12.96'
0.0007 r	15.12'
0.0008 r	17.28'
0.0009 r	19.44'
0.001 r	21.6'
0.002 r	43.2'
0.003 r	64.8'
0.004 r	86.4'
0.005 r	108'
0.006 r	129.6'
0.007 r	151.2'
0.008 r	172.8'
0.009 r	194.4'
0.01 r	216'
0.02 r	432'
0.03 r	648'
0.04 r	864'
0.05 r	1,080'
0.06 r	1,296'
0.07 r	1,512'
0.08 r	1,728'
0.09 r	1,944'
0.1 r	2,160'
0.2 r	4,320'
0.3 r	6,480'
0.4 r	8,640'
0.5 r	10,800'
0.6 r	12,960'
0.7 r	15,120'
0.8 r	17,280'
0.9 r	19,440'
1 r	21,600'

Table showing various revolution measurements converted to minutes of arc.

Revolutions

Minutes Of Arc

0.0001 r

2.16'

0.0002 r

4.32'

0.0003 r

6.48'

0.0004 r

8.64'

0.0005 r

10.8'

0.0006 r

12.96'

0.0007 r

15.12'

0.0008 r

17.28'

0.0009 r

19.44'

0.001 r

21.6'

0.002 r

43.2'

0.003 r

64.8'

0.004 r

86.4'

0.005 r

108'

0.006 r

129.6'

0.007 r

151.2'

0.008 r

172.8'

0.009 r

194.4'

0.01 r

216'

0.02 r

432'

0.03 r

648'

0.04 r

864'

0.05 r

1,080'

0.06 r

1,296'

0.07 r

1,512'

0.08 r

1,728'

0.09 r

1,944'

0.1 r

2,160'

0.2 r

4,320'

0.3 r

6,480'

0.4 r

8,640'

0.5 r

10,800'

0.6 r

12,960'

0.7 r

15,120'

0.8 r

17,280'

0.9 r

19,440'

1 r

21,600'