Arcminutes to Gradians Converter

To convert a measurement in arcminutes to gradians, multiply the value by 0.018518518519. The conversion factor comes from the relationship between both units and the radian.

For example, to convert 5 ′ to gradians: 5 × 0.018518518519 = 0.092592592593 gon.

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).

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.

Here are some common values converted:

1 ′ = 0.018518518519 gon 5 ′ = 0.092592592593 gon 10 ′ = 0.185185185185 gon 50 ′ = 0.925925925926 gon 100 ′ = 1.851852 gon