Question

The minute hand of a clock is six (6) inches long. a. How far does the tip of the minute hand move in 24 hours? Write your answer as an exact value and state the units of your answer.

Answer 1

Answer:

The tip of the minute hand move in 24 hours is 150.85 inches.

Step-by-step explanation:

Given : The minute hand of a clock is six (6) inches long.

To find : How far does the tip of the minute hand move in 24 hours?

Solution :

We know that,

1 hour = 60 minute

24 hour = $24\times 60=1440$

The angle form is $\theta=1440$.

The radius is r=6 inches

Using length of arc formula,

$l=2\pi r\times \frac{\theta}{360}$

$l=2\times \frac{22}{7}\times 6\times \frac{1440}{360}$

$l=2\times \frac{22}{7}\times 6\times 4$

$l=150.85$

Therefore, the tip of the minute hand move in 24 hours is 150.85 inches.