How to convert arcminutes to degrees
To convert a measurement in arcminutes to degrees, multiply the value by 0.016666666667. The conversion factor comes from the relationship between both units and the radian.
For example, to convert 5 ′ to degrees: 5 × 0.016666666667 = 0.083333333333 °.
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 degree?
A degree is a unit of plane angle equal to 1/360 of a full turn, so a full circle contains exactly 360 degrees. The 360-degree circle traces back to ancient Babylonian astronomers, whose base-60 (sexagesimal) number system made 360 a convenient, highly divisible count for tracking the roughly 365-day solar year. It remains the most widely used angle unit in everyday life.
Common uses of degrees include: Geometry, trigonometry, and school mathematics; Compass bearings and navigation headings; Latitude and longitude coordinates; Camera field of view and lens specifications.
Arcminutes to degrees worked examples
Here are some common values converted:
1 ′ = 0.016666666667 ° 5 ′ = 0.083333333333 ° 10 ′ = 0.166666666667 ° 50 ′ = 0.833333333333 ° 100 ′ = 1.666667 °
Frequently asked questions
How many degrees are in one arcminute?
One arcminute (′) equals 0.016666666667 degrees (°). Multiply any value in arcminutes by 0.016666666667 to convert to degrees.
How do I convert arcminutes to degrees?
Multiply the value in arcminutes by 0.016666666667. For example, 5 ′ × 0.016666666667 = 0.083333333333 °.
How do I convert degrees to arcminutes?
Multiply the value in degrees by 60, or divide by 0.016666666667. Use the swap button on the converter above to reverse the direction.
Is the arcminute to degree 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 degrees?
The formula is: ° = ′ × 0.016666666667. This comes from the definition of both units relative to the radian.