Convert Degrees to Minutes Of Arc

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

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1° = 60 arcmin

How to Convert Degrees to Minutes Of Arc

conversion scale showing degrees and equivalent minutes of arc angle values

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

minutes of arc = degrees × 60

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

For example, here's how to convert 5 degrees to minutes of arc using the formula above.
5° = (5 × 60) = 300'

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

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.

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′.

Degree to Minute Of Arc Conversion Table

Degree measurements converted to minutes of arc
Degrees Minutes Of Arc
60'
120'
180'
240'
300'
360'
420'
480'
540'
10° 600'
11° 660'
12° 720'
13° 780'
14° 840'
15° 900'
16° 960'
17° 1,020'
18° 1,080'
19° 1,140'
20° 1,200'
21° 1,260'
22° 1,320'
23° 1,380'
24° 1,440'
25° 1,500'
26° 1,560'
27° 1,620'
28° 1,680'
29° 1,740'
30° 1,800'
31° 1,860'
32° 1,920'
33° 1,980'
34° 2,040'
35° 2,100'
36° 2,160'
37° 2,220'
38° 2,280'
39° 2,340'
40° 2,400'

References

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