Minutes Of Arc to Degrees Conversion

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

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

How to Convert Minutes Of Arc to Degrees

conversion scale showing minutes of arc and equivalent degrees angle values

To convert a minute of arc measurement to a degree measurement, divide the angle by the conversion ratio. One degree is equal to 60 minutes of arc, so use this simple formula to convert:

degrees = minutes of arc ÷ 60

The angle in degrees is equal to the minutes of arc divided by 60.

For example, here's how to convert 5 minutes of arc to degrees using the formula above.
5' = (5 ÷ 60) = 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′.

Degrees

A degree is a measure of angle equal to 1/360th of a revolution, or circle.[1] 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 to Degree Conversion Table

Minute of arc measurements converted to degrees
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°

References

  1. Collins Dictionary, Definition of 'degree', https://www.collinsdictionary.com/us/dictionary/english/degree