How to convert degrees to revolutions
To convert a measurement in degrees to revolutions, multiply the value by 0.002777777778. The conversion factor comes from the relationship between both units and the radian.
For example, to convert 5 ° to revolutions: 5 × 0.002777777778 = 0.013888888889 rev.
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.
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.
Degrees to revolutions worked examples
Here are some common values converted:
1 ° = 0.002777777778 rev 5 ° = 0.013888888889 rev 10 ° = 0.027777777778 rev 50 ° = 0.138888888889 rev 100 ° = 0.277777777778 rev
Frequently asked questions
How many revolutions are in one degree?
One degree (°) equals 0.002777777778 revolutions (rev). Multiply any value in degrees by 0.002777777778 to convert to revolutions.
How do I convert degrees to revolutions?
Multiply the value in degrees by 0.002777777778. For example, 5 ° × 0.002777777778 = 0.013888888889 rev.
How do I convert revolutions to degrees?
Multiply the value in revolutions by 360, or divide by 0.002777777778. Use the swap button on the converter above to reverse the direction.
Is the degree 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 degrees to revolutions?
The formula is: rev = ° × 0.002777777778. This comes from the definition of both units relative to the radian.