# Degrees to Minutes Of Arc Conversion

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

**Results in Minutes Of Arc:**

## How to Convert Degrees to Minutes Of Arc

To convert a degree measurement to a minute of arc measurement, multiply the angle by the conversion ratio.

Since one degree is equal to 60 minutes of arc, you can use this simple formula to convert:

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.

### How Many Minutes Of Arc are in a Degree?

There are **60** minutes of arc in a degree, which is why we use this value in the formula above.

1° = 60'

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

Degrees | Minutes Of Arc |
---|---|

1° | 60' |

2° | 120' |

3° | 180' |

4° | 240' |

5° | 300' |

6° | 360' |

7° | 420' |

8° | 480' |

9° | 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

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