Final answer:
Pi radians is equal to 180 degrees because there are 360 degrees in a circle or one revolution.
Step-by-step explanation:
Pi radians is equal to 180 degrees because there are 360 degrees in a circle or one revolution.
To understand this relationship, consider a circle. If we divide the circumference of a circle into 360 equal arcs, then each arc will correspond to one degree. Similarly, if we divide the circumference of a circle into 2π equal arcs (radians), then each arc will correspond to one radian. Since there are 2π radians in a circle, which is equal to 360 degrees, we can say that pi radians is equal to 180 degrees.
For example, if A0 is a point on a CD that has made one complete revolution, every point on the CD is back at its original position. Hence, A0 = 2π rad = 360°.