Solve the problem.
-The minute hand of a clock is 13 inches long. What distance does its tip move in 16 minutes? Give an exact answer.
A) $\frac { 104 } { 15 } \pi \mathrm { in }$.
B) $\frac { 4 } { 195 } \pi$ in.
C) $\frac { 8 } { 195 } \pi \mathrm { in }$.
D) $\frac { 52 } { 15 } \pi \mathrm { in }$.

Question

Solve the problem.
-The minute hand of a clock is 13 inches long. What distance does its tip move in 16 minutes? Give an exact answer. 
A) $\frac { 104 } { 15 } \pi \mathrm { in }$.
B) $\frac { 4 } { 195 } \pi$ in.
C) $\frac { 8 } { 195 } \pi \mathrm { in }$.
D) $\frac { 52 } { 15 } \pi \mathrm { in }$.

Quizplus · Accepted Answer

The distance covered by the tip of the minute hand in 16 minutes can be calculated using the formula for the circumference of a circle, $C = 2\pi r$, where $r$ is the radius (length of the minute hand). Since the minute hand completes one full circle in 60 minutes, in 16 minutes, it covers $\frac{16}{60}$ of the full circle. Thus, the distance is $2\pi(13) \times \frac{16}{60} = \frac{104}{15}\pi$ inches.

Solve the Problem 10415πin\frac { 104 } { 15 } \pi \mathrm { in }15104​πin

Solve the Problem $\frac { 104 } { 15 } \pi \mathrm { in }$