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

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 = (22)/(7)` --- This is given from the question;

By substitution, we have

`C = 2 * (22)/(7) * 14`

`C = (2 * 22 * 14)/(7)`

`C = (616)/(7)`

`C = 88 inches`

Hence, the length of the path traced is 88 inches