Solve the problem.
-Suppose the tip of the minute hand of a clock is 5 inches from the center of the clock. Determine the distance traveled by the tip of the minute hand in 5.5 hours. Give an exact answer.
A)55π in.
B)50π in.
C)25π in.
D)30π in.

Question

Quizplus · Accepted Answer

The distance traveled by the tip of the minute hand in one complete revolution is the circumference of the circle it traces, which is given by $C = 2\pi r$, where $r$ is the radius of the circle. Here, $r = 5$ inches, so $C = 2\pi(5) = 10\pi$ inches per hour. In 5.5 hours, the distance traveled is $5.5 \times 10\pi = 55\pi$ inches.

Solve the Problem. -Suppose the Tip of the Minute Hand of a Clock