A pool company will install a round swimming pool in the middle of a yard that measures 40 ft. by 20 ft. If the pool is 12 ft. in diameter, how much of the yard will still be available?

Answer 1

First, calculate the area of the yard: 40 ft. x 20 ft. = 800 sq. ft.

Calculate the area of the pool: π x (r^2) = π x (6^2) = π x 36 = 113.1 sq. ft.

Subtract the area of the pool from the area of the yard to find the remaining available space: 800 sq. ft. - 113.1 sq. ft. = 686.9 sq. ft.

Therefore, 686.9 sq. ft. of the yard will still be available after the pool is installed.