A child, riding on a large merry-go-round, travels a distance of 3000 m in a circle of diameter 40 m.The total angle through which she revolves is:
A)50 rad
B)75 rad
C)150 rad
D)314 rad
E)none of these

Question

Quizplus · Accepted Answer

The circumference of the circle is πd = 40π m. Therefore, the number of revolutions made by the child is 3000 / (40π) = (75/π). Each revolution is 2π radians, so the total angle through which she revolves is (75/π) * 2π = 150 radians. Therefore, the answer is (C).

A Child, Riding on a Large Merry-Go-Round, Travels a Distance