Area of rectangle = 36 x 20 = 720 ft^2
Perimeter of rectangle = 2(36 + 20) = 112 ft
Area of semi-circle = 1/2πr^2 (r = 18/2 = 9, using π = 3.14)
= 1/2 x 3.14 x 9^2
= 142.87 ft^2
Perimeter of semi-circle = πd = 3.14 x 18 = 56.52 ft
(a) What is the total area of the swimming pool? Explain your reasoning.
area of the swimming pool = area of rectangle - area of semi-circle
area of the swimming pool = 720 ft^2 - 142.87 ft^2 = 577.13 ft^2
answer:
area of the swimming pool = 577.13 ft^2
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(b) What is the perimeter of the swimming pool? Explain your reasoning.
perimeter of the swimming pool = perimeter of rectangle - perimeter of semi-circle
perimeter of the swimming pool = 112 ft - 56.52 ft = 55.48 ft
answer
perimeter of the swimming pool = 55.48 ft