Question

Item 8 A dog is leashed to the corner of a house. How much running area does the dog have? Round your answer to the nearest square foot, if necessary. The dog has about square feet of running area.

Answer 1

Complete Question:

A dog is leashed to the corner of a house with a 15 foot leash. How much running area does the dog have? Round your answer to the nearest square foot.

Answer:

The dog has about 707 square feet of running area.

Step-by-step explanation:

From the illustration in the question, one can conclude that the dog can travel in a circular path.

So, the length of the leash represents the radius and we are to calculate the required area using the area of a circle.

We have:

$Radius = 15ft$

$Area = \pi r^2$

Where

$r = Radius = 15$ and $\pi = 3.14$

So:

$Area = 3.14 * 15^2$

$Area = 3.14 * 225$

$Area = 706.5ft^2$

$Area = 707\ ft^2$