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:
[tex]Radius = 15ft[/tex]
[tex]Area = \pi r^2[/tex]
Where
[tex]r = Radius = 15[/tex] and [tex]\pi = 3.14[/tex]
So:
[tex]Area = 3.14 * 15^2[/tex]
[tex]Area = 3.14 * 225[/tex]
[tex]Area = 706.5ft^2[/tex]
[tex]Area = 707\ ft^2[/tex]
