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 50 minutes. Give an exact answer.
A) $15 \pi \mathrm { in }$.
B) $225 \pi \mathrm { in }$.
C) $30 \pi \mathrm { in }$.
D) $7.5 \pi \mathrm { in }$.

Question

Quizplus · Accepted Answer

The minute hand travels 360 degrees in 60 minutes. So, in 50 minutes, it travels 360 * 50/60 = 300 degrees. The distance traveled by the tip of the minute hand is the length of the arc formed by the 300-degree angle. The radius of the circle is 9 inches. So, the distance traveled is 300/360 * 2 * pi * 9 = 15 * pi inches.

Solve the Problem 15πin15 \pi \mathrm { in }15πin B) 225πin225 \pi \mathrm { in }225πin

Solve the Problem $15 \pi \mathrm { in }$
B) $225 \pi \mathrm { in }$