Solve the problem.
-Suppose the tip of the minute hand of a clock is 4 inches from the center of the clock. Determine the distance traveled by the tip of the minute hand in 30 minutes. Give an exact answer.
A) $4 \pi \mathrm { in }$.
B) $2 \pi \mathrm { in }$.
C) $8 \pi \mathrm { in }$.
D) $16 \pi$ in.

Question

Quizplus · Accepted Answer

The distance traveled by the tip of the minute hand in 30 minutes is half the circumference of the circle described by the minute hand. The circumference of a circle is given by $C = 2\pi r$, where $r$ is the radius. Here, $r = 4$ inches, so the full circumference is $2\pi \times 4 = 8\pi$ inches. Half of that, for 30 minutes, is $4\pi$ inches.

Solve the Problem 4πin4 \pi \mathrm { in }4πin B) 2πin2 \pi \mathrm { in }2πin

Solve the Problem $4 \pi \mathrm { in }$
B) $2 \pi \mathrm { in }$