Arcminutes To Arcseconds Conversion

arcmin

1 arcmin = 60 arcsec

Want to convert from arcseconds to arcminutes instead?

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How to convert arcminutes to arcseconds (arcmin to arcsec)

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

arcsec = arcmin × 60

arcsec = 1 × 60

arcsec = 60

In other words, 1 arcminute is equal to 60 arcseconds.


Example Conversion

Let's take a look at an example. The step-by-step process to convert 7 arcminutes to arcseconds is:

  1. Understand the conversion formula: arcsec = arcmin × 60
  2. Substitute the required value. In this case we substitute 7 for arcmin so the formula becomes: arcsec = 7 × 60
  3. Calculate the result using the provided values. In our example the result is: 7 × 60 = 420 arcsec

In summary, 7 arcminutes is equal to 420 arcseconds.


Converting arcseconds to arcminutes

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

arcmin = arcsec × 0.0166666666666667

arcmin = 1 × 0.0166666666666667

arcmin = 0.0166666666666667

Or in other words, 1 arcsecond is equal to 0.0166666666666667 arcminutes.


Conversion Unit Definitions

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.

What is a Arcsecond?

An arcsecond (or second) is a unit of angular measure that is used to measure very small angles, particularly in astronomy and geodesy. One second is defined as 1/3600th of a degree or 1/60th of a minute of arc.
To better understand this definition, it's important to note that a circle is divided into 360 degrees, and each degree is further divided into 60 minutes of arc. Each minute of arc is then divided into 60 seconds of arc. Therefore, one second of arc is a very small angle, equal to 1/3600th of a degree or approximately 0.00028 degrees.
When measuring angles using seconds, angles are usually denoted using the degree symbol (°) followed by the minute symbol (′) and then the second symbol (″). For example, an angle of 2 degrees, 30 minutes, and 15 seconds would be written as 2° 30′ 15″.

Arcminutes To Arcseconds Conversion Table

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

Arcminute (')Arcsecond ('')
1 arcmin60 arcsec
2 arcmin120 arcsec
3 arcmin180 arcsec
4 arcmin240 arcsec
5 arcmin300 arcsec
6 arcmin360 arcsec
7 arcmin420 arcsec
8 arcmin480 arcsec
9 arcmin540 arcsec
10 arcmin600 arcsec
11 arcmin660 arcsec
12 arcmin720 arcsec
13 arcmin780 arcsec

Other Common Arcminute Conversions

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

ConversionResult
1 arcminute in circles0.0000462962962962962962962962962963 circle

Arcminutes To Arcseconds Conversion Chart