Question 827108
ms. russo is hiring an architect to create blue prints for a circular pool in her fenced in backyard. the rectangular fence neasures 50*4 sq ft = 200 sq ft.
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the pool needs to be as big as possible within the given space. 
Let the rectangle be a square:
Each side is sqrt(200) = 10sqrt(2) ft.
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local building code states that pools have to be at least 3 feet from the fence.
radius of the pool is (5-3) = 2 ft
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a. sketch the fence and pool on the graph below
b. determine the diameter and circumference of the pool
Diameter = 4 ft; Circumference = 4pi ft
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c. if the bottom left of the fence is considered the origin on the Cartesian coordinate plane and the entire pool is in quadrant 1 then create the circle equation for the pool in circle radius form and in general form
Center at (2,2) because radius = 2.
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Equation: (x-2)^2 + (y-2)^2 = 4
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Cheers,
Stan H.
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