Solve the problem.
-Suppose the tip of the minute hand of a clock is 9 inches from the center of the clock. Determine the distance traveled by the tip of the minute hand in $3.5$ hours. Give an exact answer.
A) $27 \pi \mathrm { in }$.
B) $63 \pi \mathrm { in }$.
C) $36 \pi \mathrm { in }$.
D) $54 \pi \mathrm { in }$.

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 $2\pi r$, where $r = 9$ inches. In $3.5$ hours, the minute hand completes $3.5 \times 60 = 210$ minutes, or $3.5$ revolutions. Therefore, the distance traveled is $3.5 \times 2\pi(9) = 63\pi$ inches.

Solve the Problem 3.53.53.5 Hours Give an Exact Answer 27πin27 \pi \mathrm { in }27πin

Solve the Problem $3.5$ Hours Give an Exact Answer $27 \pi \mathrm { in }$