How to convert revolutions to gradians
To convert a measurement in revolutions to gradians, multiply the value by 400. The conversion factor comes from the relationship between both units and the radian.
For example, to convert 5 rev to gradians: 5 × 400 = 2,000 gon.
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.
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.
Revolutions to gradians worked examples
Here are some common values converted:
1 rev = 400 gon 5 rev = 2,000 gon 10 rev = 4,000 gon 50 rev = 20,000 gon 100 rev = 40,000 gon
Frequently asked questions
How many gradians are in one revolution?
One revolution (rev) equals 400 gradians (gon). Multiply any value in revolutions by 400 to convert to gradians.
How do I convert revolutions to gradians?
Multiply the value in revolutions by 400. For example, 5 rev × 400 = 2,000 gon.
How do I convert gradians to revolutions?
Multiply the value in gradians by 0.0025, or divide by 400. Use the swap button on the converter above to reverse the direction.
Is the revolution 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 revolutions to gradians?
The formula is: gon = rev × 400. This comes from the definition of both units relative to the radian.