Convert Circles to Minutes Of Arc

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

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Results in Minutes Of Arc:
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1 cir = 21,600 arcmin

How to Convert Circles to Minutes Of Arc

Protractors are often used to measure angle

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

minutes of arc = circles × 21,600

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

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

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

Circles

A circle is the equivalent of 1 revolution around a circle, or 360°.

A circle is sometimes also referred to as a revolution. Circles can be abbreviated as cir, for example 1 circle can be written as 1 cir.

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′.

Circle to Minute Of Arc Conversion Table

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