How to convert revolutions to degrees
To convert a measurement in revolutions to degrees, multiply the value by 360. The conversion factor comes from the relationship between both units and the radian.
For example, to convert 5 rev to degrees: 5 × 360 = 1,800 °.
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 degree?
A degree is a unit of plane angle equal to 1/360 of a full turn, so a full circle contains exactly 360 degrees. The 360-degree circle traces back to ancient Babylonian astronomers, whose base-60 (sexagesimal) number system made 360 a convenient, highly divisible count for tracking the roughly 365-day solar year. It remains the most widely used angle unit in everyday life.
Common uses of degrees include: Geometry, trigonometry, and school mathematics; Compass bearings and navigation headings; Latitude and longitude coordinates; Camera field of view and lens specifications.
When you need to convert revolutions to degrees
Mechanical work often counts whole rotations — of a wheel, gear, or motor shaft — while specifications or control systems want the angle in degrees. Converting revolutions to degrees (1 rev = 360°) is routine when analyzing rotational position or RPM-based motion.
Revolutions to degrees worked examples
Here are some common values converted:
1 rev = 360 ° 5 rev = 1,800 ° 10 rev = 3,600 ° 50 rev = 18,000 ° 100 rev = 36,000 °
Frequently asked questions
How many degrees are in one revolution?
One revolution (rev) equals 360 degrees (°). Multiply any value in revolutions by 360 to convert to degrees.
How do I convert revolutions to degrees?
Multiply the value in revolutions by 360. For example, 5 rev × 360 = 1,800 °.
How do I convert degrees to revolutions?
Multiply the value in degrees by 0.002777777778, or divide by 360. Use the swap button on the converter above to reverse the direction.
Is the revolution to degree 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 degrees?
The formula is: ° = rev × 360. This comes from the definition of both units relative to the radian.