Solve the problem.
-Suppose the tip of the minute hand of a clock is 15 inches from the center of the clock. Determine the distance traveled by the tip of the minute hand in 10 minutes. Give an exact answer.
A) $10 \pi \mathrm { in }$.
B) $5 \pi \mathrm { in }$.
C) $2.5 \pi \mathrm { in }$.
D) $25 \pi \mathrm { in }$.

Question

Solve the problem.
-Suppose the tip of the minute hand of a clock is 15 inches from the center of the clock. Determine the distance traveled by the tip of the minute hand in 10 minutes. Give an exact answer. 
A) $10 \pi \mathrm { in }$.
B) $5 \pi \mathrm { in }$.
C) $2.5 \pi \mathrm { in }$.
D) $25 \pi \mathrm { in }$.

Quizplus · Accepted Answer

The minute hand completes a full circle (360 degrees) in 60 minutes. In 10 minutes, it covers 1/6 of the circle. The circumference of the circle is $2 \pi \times 15 = 30 \pi$ inches. Therefore, the distance traveled in 10 minutes is $(1/6) \times 30 \pi = 5 \pi$ inches.

Solve the Problem 10πin10 \pi \mathrm { in }10πin B) 5πin5 \pi \mathrm { in }5πin

Solve the Problem $10 \pi \mathrm { in }$
B) $5 \pi \mathrm { in }$