Gradians to Arcminutes Converter

To convert a measurement in gradians to arcminutes, multiply the value by 54. The conversion factor comes from the relationship between both units and the radian.

For example, to convert 5 gon to arcminutes: 5 × 54 = 270 ′.

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.

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).

Here are some common values converted:

1 gon = 54 ′ 5 gon = 270 ′ 10 gon = 540 ′ 50 gon = 2,700 ′ 100 gon = 5,400 ′