Gradians to Revolutions Converter

To convert a measurement in gradians to revolutions, multiply the value by 0.0025. The conversion factor comes from the relationship between both units and the radian.

For example, to convert 5 gon to revolutions: 5 × 0.0025 = 0.0125 rev.

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.

A revolution (also called a turn or full circle) is one complete rotation, equal to 360 degrees or 2π radians. The revolution is the most intuitive angular unit — one full spin. It is the natural way to count rotations in machinery, and forms the basis of rotational-speed units such as revolutions per minute (RPM).

Common uses of revolutions include: Engine and motor speed (RPM); Counting rotations of wheels, gears, and turbines; Vinyl record and hard-drive spin rates; Describing full turns in everyday language.

Here are some common values converted:

1 gon = 0.0025 rev 5 gon = 0.0125 rev 10 gon = 0.025 rev 50 gon = 0.125 rev 100 gon = 0.25 rev