Convert Minutes Of Arc to Degrees

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

Results in Degrees:
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1 arcmin = 0.016667°
1 arcmin = 0° 1′ 0″

How to Convert Minutes Of Arc to Degrees

Protractors are often used to measure angle

To convert a minute of arc measurement to a degree measurement, multiply the angle by the conversion ratio. One minute of arc is equal to 0.016667 degrees, so use this simple formula to convert:

degrees = minutes of arc × 0.016667

The angle in degrees is equal to the minutes of arc multiplied by 0.016667.

For example, here's how to convert 5 minutes of arc to degrees using the formula above.
5' = (5 × 0.016667) = 0.083333°

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

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′.


A degree is a measure of angle equal to 1/360th of a revolution, or circle. The number 360 has 24 divisors, making it a fairly easy number to work with. There are also 360 days in the Persian calendar year, and many theorize that early astronomers used 1 degree per day.

The degree is an SI accepted unit for angle for use with the metric system. A degree is sometimes also referred to as a degree of arc, arc degree, or arcdegree. Degrees can be abbreviated as °, and are also sometimes abbreviated as deg. For example, 1 degree can be written as 1° or 1 deg.

Degrees can also be expressed using minutes and seconds as an alternative to using the decimal form. Minutes and seconds are expressed using the prime (′) and double-prime (″) characters, although a single-quote and double-quote are often used for convenience.

One minute is equal to 1/60th of a degree and one second is equal to 1/60th of a minute.

Protractors are commonly used to measure angles in degrees. They are semi-circle or full-circle devices with degree markings allowing a user to measure an angle in degrees. Learn more about how to use a protractor or download a printable protractor.

Minute Of Arc Measurements and Equivalent Degree Conversions

Common minute of arc values converted to the equivalent degree value
Minutes Of Arc Degrees
1' 0.016667°
2' 0.033333°
3' 0.05°
4' 0.066667°
5' 0.083333°
6' 0.1°
7' 0.116667°
8' 0.133333°
9' 0.15°
10' 0.166667°
11' 0.183333°
12' 0.2°
13' 0.216667°
14' 0.233333°
15' 0.25°
16' 0.266667°
17' 0.283333°
18' 0.3°
19' 0.316667°
20' 0.333333°
21' 0.35°
22' 0.366667°
23' 0.383333°
24' 0.4°
25' 0.416667°
26' 0.433333°
27' 0.45°
28' 0.466667°
29' 0.483333°
30' 0.5°
31' 0.516667°
32' 0.533333°
33' 0.55°
34' 0.566667°
35' 0.583333°
36' 0.6°
37' 0.616667°
38' 0.633333°
39' 0.65°
40' 0.666667°

More Minute Of Arc Angle Conversions

Convert to Radians
1' is equal to 0.000291 radians
Convert to Milliradians
1' is equal to 0.290888 milliradians
Convert to Seconds Of Arc
1' is equal to 60 seconds of arc
Convert to Gradians
1' is equal to 0.018519 gradians
Convert to Revolutions
1' is equal to 4.6296E-5 revolutions
Convert to Circles
1' is equal to 4.6296E-5 circles
Convert to Mils (NATO)
1' is equal to 0.296296 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.