Convert Circles to Minutes Of Arc

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

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.


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 Measurements and Equivalent Minute Of Arc Conversions

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

More Circle Angle Conversions

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

Unit of Measurement Conversion Made Easy!

There are thousands of units of measure in use across the globe, and converting from one to another can be very difficult since each conversion requires a different formula to derive the result. Our unit of measurement conversion tools are meant to be dead easy. We break the mold of the typical dry and complicated experience. In addition to converting from one measurement to another, we provide the formula so you can see how the conversion is done, use it on you’re own calculator if you need to!

Convert units of length, weight, volume, and area between imperial and metric measures

Understanding the Metric System

The metric system makes it relatively easy to convert from one metric unit to another metric unit. The metric system uses a base unit, think meters or grams, and a prefix such as kilo or milli. The prefixes differ from the base units by differing powers of 10. So to convert within the metric system it’s usually a matter of multiplying or dividing by one of the powers of 10.

Here is a list of some of the common metric prefixes:

  • “kilo” – 1,000x larger
  • “hecto” – 100x larger
  • “deca” – 10x larger
  • “deci” – 10x smaller
  • “centi” – 100x smaller
  • “milli” – 1,000x smaller

There is a helpful mnemonic for remembering the prefixes: “King Henry Died Until Drinking Chocolate Milk.”
The u in Until refers to the base unit.