Solve the problem.
-Suppose the tip of the minute hand of a clock is 6 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) $6 \pi \mathrm { in }$.
B) $3 \pi \mathrm { in }$.
C) $12 \pi \mathrm { in }$.
D) $36 \pi \mathrm { in }$.

Question

Solve the problem.
-Suppose the tip of the minute hand of a clock is 6 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) $6 \pi \mathrm { in }$.
B) $3 \pi \mathrm { in }$.
C) $12 \pi \mathrm { in }$.
D) $36 \pi \mathrm { in }$.

Quizplus · Accepted Answer

The distance traveled by the tip of the minute hand in 30 minutes is half the circumference of the circle it describes. The circumference of a circle is given by $C = 2\pi r$, where $r$ is the radius. Here, $r = 6$ inches, so $C = 2\pi(6) = 12\pi$ inches for the full hour. For 30 minutes, which is half the circle, the distance is $12\pi / 2 = 6\pi$ inches.

Solve the Problem 6πin6 \pi \mathrm { in }6πin B) 3πin3 \pi \mathrm { in }3πin

Solve the Problem $6 \pi \mathrm { in }$
B) $3 \pi \mathrm { in }$