Solve the problem.
-Suppose the tip of the minute hand of a clock is 5 in. from the center of the clock. Determine the distance traveled by the tip of the minute hand in $3 \frac { 1 } { 2 }$ hours. Give an exact answer.
A) $30 \pi \mathrm { in }$.
B) $35 \pi \mathrm { in }$.
C) $15 \pi \mathrm { in }$.
D) $20 \pi$ 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 $3 \frac{1}{2}$ hours, or 3.5 hours, the distance traveled is $3.5 \times 10\pi = 35\pi$ inches.

Solve the Problem 3123 \frac { 1 } { 2 }321​

Solve the Problem $3 \frac { 1 } { 2 }$