Circles to Minutes of Arc Conversion (cir to arcmin)

Circles to Minutes of Arc Converter

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

Result in Minutes of Arc:

1 cir = 21,600 arcmin

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'

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

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.

Learn more about circles.

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.

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'

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'