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3 years ago

The fountain is made up of two semicircles and one quarter circle. Find the perimeter and area of the fountain.

Mathematics

1 answer:

antoniya [11.8K]3 years ago

3 0

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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