Question

The Smith family is planning to put an above a ground swimming pool in their back

yard. Their yard is a 25 ft by 60 ft and the pool will be a circle with a DIAMETER of
16 ft, as shown below. They will fill the rest of the yard with grass. Find out how many
square feet of their yard will be grass?
Enter your answer with two digits for the decimals
60 ft.
16 ft.
25 ft.

PLEASE HELP

Answer 1

The first step is to calculate the area of the circle pool:

- The diameter of the pool is 16 ft, which means the radius is 8 ft (half of the diameter).

- The formula for the area of a circle is A = πr^2, where A is the area and r is the radius.

- Plugging in the values, we get A = π(8 ft)^2 = 64π sq ft.

The total area of the yard is 25 ft x 60 ft = 1500 sq ft. To find out how many square feet of the yard will be grass, we need to subtract the area of the pool from the total area of the yard:

- Grass area = Total area - Pool area = 1500 sq ft - 64π sq ft ≈ 1304.43 sq ft.

Therefore, about 1304.43 square feet of their yard will be grass, to two decimal places.