A dog is leashed to the corner of a house. How much running area does the dog have? Round answer to the nearest square foot, if necessary.
![A dog is leashed to the corner of a house How much running area does the dog have Round answer to the nearest square foot if necessary class=](https://us-static.z-dn.net/files/dd1/9b6df1fa6755c1b4a89ffcd0aaaaa340.png)
Answer:
942 ft²
Step-by-step explanation:
The diagram shows the area to be 3/4 of that of a circle of radius 20 ft. The area of a circle is given by ...
A = πr² = π(20 ft)² = 400π ft²
Then 3/4 of that area is ...
dog run = (3/4)(400π ft²) = 300π ft² ≈ 942.48 ft²
The area of the dog's run is about 942 ft².