Convert Revolutions to Radians

Learn How to Convert Revolutions to Radians Using our Conversion Formula

Converting a revolution angle measurement to a radian measurement involves multiplying your angle by the conversion ratio to find the result. A revolution is equal to 6.283185 radians, so to convert simply multiply by 6.283185.

For example, 5r = (5 × 6.283185) = 31.415927rad.

Revolutions and radians are both units used to measure angle. Learn more about angle and find more angle measurement conversion calculators. A revolution is an angle measurement and can be abbreviated as r, for example 1r. A radian is an angle measurement and can be abbreviated as rad, for example 1rad.

A radian is the measurement of the angle from the start to the end of an arc equal to the radius of the circle. 1 radian is equal to 180/π, or about 57.29578°. There are about 6.28318 radians in a circle. The radian is the standard SI unit of measurement for an angle.

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.