How to convert arcseconds to degrees
To convert a measurement in arcseconds to degrees, multiply the value by 0.000277777778. The conversion factor comes from the relationship between both units and the radian.
For example, to convert 5 ″ to degrees: 5 × 0.000277777778 = 0.001388888889 °.
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.
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.
Arcseconds to degrees worked examples
Here are some common values converted:
1 ″ = 0.000277777778 ° 5 ″ = 0.001388888889 ° 10 ″ = 0.002777777778 ° 50 ″ = 0.013888888889 ° 100 ″ = 0.027777777778 °
Frequently asked questions
How many degrees are in one arcsecond?
One arcsecond (″) equals 0.000277777778 degrees (°). Multiply any value in arcseconds by 0.000277777778 to convert to degrees.
How do I convert arcseconds to degrees?
Multiply the value in arcseconds by 0.000277777778. For example, 5 ″ × 0.000277777778 = 0.001388888889 °.
How do I convert degrees to arcseconds?
Multiply the value in degrees by 3,600, or divide by 0.000277777778. Use the swap button on the converter above to reverse the direction.
Is the arcsecond 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 arcseconds to degrees?
The formula is: ° = ″ × 0.000277777778. This comes from the definition of both units relative to the radian.