Circles to Minutes of Arc Converter

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

Result in Minutes of Arc:

1 cir = 21,600 arcmin

Do you want to convert minutes of arc to circles?

How to Convert Circles to Minutes of Arc

To convert a measurement in circles to a measurement in minutes of arc, multiply the angle by the following conversion ratio: 21,600 minutes of arc/circle.

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

minutes of arc = circles × 21,600

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

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

How Many Minutes of Arc Are in a Circle?

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

1 cir = 21,600'

What Is a Circle?

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.

A circle is more commonly used to describe a round, symmetrical shape with no corners or edges than it is to describe plane angle. The shape is described by its radius and circumference.

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′.

Circle to Minute of Arc Conversion Table

Table showing various 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'