Degrees To Arcminutes Conversion


1 ° = 60 arcmin

Want to convert from arcminutes to degrees instead?

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How to convert degrees to arcminutes (° to arcmin)

The formula for converting degrees to arcminutes is: arcmin = ° × 60. To calculate the degree value in arcminutes first substitute the degree value into the preceding formula, and then perform the calculation. If we wanted to calculate 1 degree in arcminutes we follow these steps:

arcmin = ° × 60

arcmin = 1 × 60

arcmin = 60

In other words, 1 degree is equal to 60 arcminutes.

Example Conversion

Let's take a look at an example. The step-by-step process to convert 3 degrees to arcminutes is:

  1. Understand the conversion formula: arcmin = ° × 60
  2. Substitute the required value. In this case we substitute 3 for ° so the formula becomes: arcmin = 3 × 60
  3. Calculate the result using the provided values. In our example the result is: 3 × 60 = 180 arcmin

In summary, 3 degrees is equal to 180 arcminutes.

Converting arcminutes to degrees

In order to convert the other way around i.e. arcminutes to degrees, you would use the following formula: ° = arcmin × 0.0166666666666667. To convert arcminutes to degrees first substitute the arcminute value into the above formula, and then execute the calculation. If we wanted to calculate 1 arcminute in degrees we follow these steps:

° = arcmin × 0.0166666666666667

° = 1 × 0.0166666666666667

° = 0.0166666666666667

Or in other words, 1 arcminute is equal to 0.0166666666666667 degrees.

Conversion Unit Definitions

What is a Degree?

A degree is a unit of measure for angles, which is used to quantify the size of an angle. One degree is defined as 1/360th of a full rotation, which is a complete revolution around a circle.
To better understand this definition, it's important to note that a circle has 360 degrees. Therefore, an angle that spans one quarter of a circle (i.e., 90 degrees) is a right angle, while an angle that spans half a circle (i.e., 180 degrees) is a straight angle.
When measuring angles, degrees are usually denoted using the degree symbol (°), which is placed after the numerical value of the angle. For example, an angle of 45 degrees would be written as 45°.

What is a Arcminute?

An arcminute (or minute) is a unit of angular measurement that is often used as a subdivision of a degree. One degree is equal to 60 minutes.
To better understand this definition, it's important to note that a circle is divided into 360 degrees. Each degree is further divided into 60 minutes. Therefore, one minute is equal to 1/60th of a degree or approximately 0.01745 degrees.
Minutes are commonly used in applications where angles need to be measured with a high degree of precision, such as astronomy, navigation, and surveying. They are particularly useful when measuring small angles, such as the apparent diameter of celestial bodies or the deviation of a building from a true vertical line.

Degrees To Arcminutes Conversion Table

Below is a lookup table showing common degrees to arcminutes conversion values.

Degree (°)Arcminute (')
1 °60 arcmin
2 °120 arcmin
3 °180 arcmin
4 °240 arcmin
5 °300 arcmin
6 °360 arcmin
7 °420 arcmin
8 °480 arcmin
9 °540 arcmin
10 °600 arcmin
11 °660 arcmin
12 °720 arcmin
13 °780 arcmin

Other Common Degree Conversions

Below is a table of common conversions from degrees to other angle units.

1 degree in circles0.00277777777777778 circle
1 degree in gons1.11111111111111 gon
1 degree in gradians1.11111111111111 grad
1 degree in radians0.0174532925 rad
1 degree in revolutions0.0027777777777 rev
1 degree in arcseconds3600 arcsec
1 degree in turns0.0027777777777 tr