The fountain is made up of two semicircles and one quarter circle. Find the perimeter and area of the fountain.
1 answer:
Answer:
628ft²
Step-by-step explanation:
From the diagram, we are given the following
diameter of the semicircles
2semi circles = 1 circle
Area of 2semicircles = πd²/4
Area of 2semicircles = 3.14(20)²/4
Area of 2semicircles = 3.14*400/4
Area of 2semicircles = 3.14*100
Area of 2semicircles = 314ft²
Area of the quarter circle = πd²/4 * 1/4
Area of the quarter circle = πd²/16
d = 2r
d = 2*20
d = 40ft
Area of the quarter circle = 3.14(40)²/16
Area of the quarter circle = 3.14*1600/16
Area of the quarter circle = 3.14*100
Area of the quarter circle = 314ft²
Area of the fountain = 314ft²+314ft²
Area of the fountain = 628ft²
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