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Paraphin [41]
3 years ago
11

A fountain is made up of two semicircles and a quarter circle. Find the perimeter of the fountain. Round your answer to the near

est tenth. The perimeter of the fountain is about a feet.

Mathematics
1 answer:
slamgirl [31]3 years ago
4 0

complete question:

A fountain is made up of two semicircles and a quarter circle. The diameter of the semicircles is 10 ft.  Find the perimeter of the fountain. Round your answer to the nearest tenth.  The picture is represented below.

Answer:

The perimeter of the fountain = 47.1  ft

Step-by-step explanation:

The fountain has 2 semi circle from a smaller circle with the diameter represented as 10 ft and a quarter circle from a bigger circle with the radius equals to 10 ft.

The perimeter is the distance around the fountain.The perimeter is the circumference in circular perspective. Therefore,

perimeter for a full circle = 2πr

Half circle = 2πr/2 = πr

For 2 half circle = πr + πr = 2πr

For 2 half circle = 2πr

r = 10/2 = 5

perimeter for 2 half circle = 2 ×  5 × 3.14 = 31.4  ft

Perimeter for the quarter circle

r = 10 ft

Quarter circle perimeter = 1/4 × 2πr = πr/2

Quarter circle perimeter = (3.14 × 10)/2

Quarter circle perimeter = (31.4)/2

Quarter circle perimeter = 15.7  ft

The perimeter of the fountain = 15.7  ft + 31.4  ft = 47.1  ft

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