How to convert gradians to revolutions
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.
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.
What is a revolution?
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.
Gradians to revolutions worked examples
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
Frequently asked questions
How many revolutions are in one gradian?
One gradian (gon) equals 0.0025 revolutions (rev). Multiply any value in gradians by 0.0025 to convert to revolutions.
How do I convert gradians to revolutions?
Multiply the value in gradians by 0.0025. For example, 5 gon × 0.0025 = 0.0125 rev.
How do I convert revolutions to gradians?
Multiply the value in revolutions by 400, or divide by 0.0025. Use the swap button on the converter above to reverse the direction.
Is the gradian to revolution 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 gradians to revolutions?
The formula is: rev = gon × 0.0025. This comes from the definition of both units relative to the radian.