Convert Revolutions to Minutes Of Arc

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

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1 r = 21,600 arcmin

How to Convert Revolutions to Minutes Of Arc

Protractors are often used to measure angle

To convert a revolution measurement to a minute of arc measurement, multiply the angle by the conversion ratio. One revolution is equal to 21,600 minutes of arc, so use this simple formula to convert:

minutes of arc = revolutions × 21,600

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

For example, here's how to convert 5 revolutions to minutes of arc using the formula above.
5 r = (5 × 21,600) = 108,000'

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

Revolutions

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.

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′.

Revolution Measurements and Equivalent Minute Of Arc Conversions

Common revolution values converted to the equivalent minute of arc value
Revolutions Minutes Of Arc
1 r 21,600'
2 r 43,200'
3 r 64,800'
4 r 86,400'
5 r 108,000'
6 r 129,600'
7 r 151,200'
8 r 172,800'
9 r 194,400'
10 r 216,000'
11 r 237,600'
12 r 259,200'
13 r 280,800'
14 r 302,400'
15 r 324,000'
16 r 345,600'
17 r 367,200'
18 r 388,800'
19 r 410,400'
20 r 432,000'
21 r 453,600'
22 r 475,200'
23 r 496,800'
24 r 518,400'
25 r 540,000'
26 r 561,600'
27 r 583,200'
28 r 604,800'
29 r 626,400'
30 r 648,000'
31 r 669,600'
32 r 691,200'
33 r 712,800'
34 r 734,400'
35 r 756,000'
36 r 777,600'
37 r 799,200'
38 r 820,800'
39 r 842,400'
40 r 864,000'

More Revolution Angle Conversions

Convert to Radians
1 r is equal to 6.283185 radians
Convert to Milliradians
1 r is equal to 6,283.19 milliradians
Convert to Degrees
1 r is equal to 360 degrees
Convert to Seconds Of Arc
1 r is equal to 1,296,000 seconds of arc
Convert to Gradians
1 r is equal to 400 gradians
Convert to Circles
1 r is equal to 1 circles
Convert to Mils (NATO)
1 r is equal to 6,400 mils (NATO)