Question

A family is building a circular fountain in their backyard. The yard is rectangular and measures 14x by 19x and the fountain is going to be circular with a radius of 6x. Once the fountain is built, what will the area of the remaining yard be?

A. 203πx^2
B. 230x^2
C. 266x^2 - 6πx^2
D. 2x^2 (133 - 18π)
(π = Pie)

Answer 1

Area of the rectangle = 14x x 19x = 266x²

Area of the fountain = π(6x)² = 36πx²

Area remaining = 266x² - 36πx²

Area remaining = 2x²(133 - 18π)

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Answer: 2x²(133 - 18π) (Answer D)
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