Question

The length of the minute hand of a clock is

14 inches. What is the length of the path traced

by the outer tip of the minute hand in one

hour? Use 22

7 for p.

Answer 1

Answer:

Step-by-step explanation:

Given

Length of the minute hand = 14 inches

Time = 1 hour

Required

Length of the path traced in 1 hour

For, the minute hand to have completer an hour, this means it completes a cycle;

1 cycle is equivalent to 1 complete rotation;

So, basically the question implies that; the circumference of the complete rotation be solved for;

To solve for this; we make use of the circumference formula;

$C = 2\pi r$

Where

C represents the circumference

r represents the radius or the length of the minute hand

$\pi = \frac{22}{7}$ --- This is given from the question;

By substitution, we have

$C = 2 * \frac{22}{7} * 14$

$C = \frac{2 * 22 * 14}{7}$

$C = \frac{616}{7}$

$C = 88 inches$

Hence, the length of the path traced is 88 inches