in the radian system of angular measurement what is the measure of one revolution
Radian It follows that the magnitude in radians of one complete revolution (360 degrees) is the length of the entire circumference divided by the radius, or 2πr / r, or 2π. Thus 2π radians is equal to 360 degrees, meaning that one radian is equal to 180/π degrees.
Pi Ï€ is commonly defined as the ratio of a circle's circumference C to its diameter d:[9]