Convert Degrees to Revolutions

Learn How to Convert Degrees to Revolutions Using our Conversion Formula

Converting a degree angle measurement to a revolution measurement involves multiplying your angle by the conversion ratio to find the result. A degree is equal to 0.002778 revolutions, so to convert simply multiply by 0.002778.

For example, 5° = (5 × 0.002778) = 0.013889r.

Degrees and revolutions are both units used to measure angle. Learn more about angle and find more angle measurement conversion calculators. A degree is an angle measurement and can be abbreviated as °, for example 1°. A revolution is an angle measurement and can be abbreviated as r, for example 1r.

There are 360 degrees in a revolution, or circle. 360 has 24 divisors, and is easily divided by 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120 and 180. This makes it a fairly easy number to work with. There are also 360 days in the Persian calendar year, and many theorize that early astronomers used 1 degree per day. Protractors are commonly used to measure angles in degrees. They are semi-circle or full-circle devices with degree markings allowing a user to measure an angle in degrees. Learn more about how to use a protractor or download a printable protractor.

A revolution is equal to 1 rotation around a circle, or 360°. Revolutions are commonly used to measure the speed of rotation, for example when measuring the revolutions per minute(RPM) of a vehicle's engine.