How to convert arcminutes to arcseconds
To convert a measurement in arcminutes to arcseconds, multiply the value by 60. The conversion factor comes from the relationship between both units and the radian.
For example, to convert 5 ′ to arcseconds: 5 × 60 = 300 ″.
What is a arcminute?
An arcminute is a unit of angle equal to 1/60 of a degree, or 1/21,600 of a full turn. It is written with a prime symbol (′). Like the degree, the arcminute comes from the Babylonian sexagesimal system, which subdivided the degree into 60 parts. It remains standard for expressing small angles in astronomy and precise navigation.
Common uses of arcminutes include: Astronomy — apparent size and position of stars; GPS and latitude/longitude fractions; Vision measurement (visual acuity, minutes of arc); Firearms and optics (minute of angle, MOA).
What is a arcsecond?
An arcsecond is a unit of angle equal to 1/60 of an arcminute, 1/3,600 of a degree, or 1/1,296,000 of a full turn. It is written with a double-prime symbol (″). The arcsecond continues the Babylonian sexagesimal subdivision one step further and became essential in astronomy, where stellar parallaxes are measured in fractions of an arcsecond (the parsec is defined from it).
Common uses of arcseconds include: Stellar parallax and astrometry; Telescope resolution and seeing conditions; High-precision surveying and geodesy; Satellite and spacecraft pointing accuracy.
Arcminutes to arcseconds worked examples
Here are some common values converted:
1 ′ = 60 ″ 5 ′ = 300 ″ 10 ′ = 600 ″ 50 ′ = 3,000 ″ 100 ′ = 6,000 ″
Frequently asked questions
How many arcseconds are in one arcminute?
One arcminute (′) equals 60 arcseconds (″). Multiply any value in arcminutes by 60 to convert to arcseconds.
How do I convert arcminutes to arcseconds?
Multiply the value in arcminutes by 60. For example, 5 ′ × 60 = 300 ″.
How do I convert arcseconds to arcminutes?
Multiply the value in arcseconds by 0.016666666667, or divide by 60. Use the swap button on the converter above to reverse the direction.
Is the arcminute to arcsecond conversion exact?
Angle conversions are exact. Degrees, gradians and revolutions are defined as exact fractions of a full turn (2π radians).
What is the formula for arcminutes to arcseconds?
The formula is: ″ = ′ × 60. This comes from the definition of both units relative to the radian.