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.

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`