How to convert arcseconds to gradians
To convert a measurement in arcseconds to gradians, multiply the value by 0.000308641975. The conversion factor comes from the relationship between both units and the radian.
For example, to convert 5 ″ to gradians: 5 × 0.000308641975 = 0.001543209877 gon.
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 gradian?
A gradian (also called gon or grade) is a unit of plane angle equal to 1/400 of a full turn, so a right angle is exactly 100 gradians. Introduced in France around the time of the French Revolution as part of the push to decimalize all measurement, the gradian divides the quarter circle into a tidy 100 units. It survives mainly in surveying and some European civil engineering.
Common uses of gradians include: Land surveying and geodesy in parts of Europe; Civil engineering slope and grade calculations; Some scientific calculators (GRAD mode); Cadastral (property boundary) measurement.
Arcseconds to gradians worked examples
Here are some common values converted:
1 ″ = 0.000308641975 gon 5 ″ = 0.001543209877 gon 10 ″ = 0.003086419753 gon 50 ″ = 0.015432098765 gon 100 ″ = 0.030864197531 gon
Frequently asked questions
How many gradians are in one arcsecond?
One arcsecond (″) equals 0.000308641975 gradians (gon). Multiply any value in arcseconds by 0.000308641975 to convert to gradians.
How do I convert arcseconds to gradians?
Multiply the value in arcseconds by 0.000308641975. For example, 5 ″ × 0.000308641975 = 0.001543209877 gon.
How do I convert gradians to arcseconds?
Multiply the value in gradians by 3,240, or divide by 0.000308641975. Use the swap button on the converter above to reverse the direction.
Is the arcsecond to gradian 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 gradians?
The formula is: gon = ″ × 0.000308641975. This comes from the definition of both units relative to the radian.