complete question:
A fountain is made up of two semicircles and a quarter circle. The diameter of the semicircles is 10 ft. Â Find the perimeter of the fountain. Round your answer to the nearest tenth. Â The picture is represented below.
Answer:
The perimeter of the fountain = 47.1 Â 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 = 2Ï€r
Half circle = 2πr/2 = πr
For 2 half circle = πr + πr = 2πr
For 2 half circle = 2Ï€r
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 Â ft
The perimeter of the fountain = 15.7 Â ft + 31.4 Â ft = 47.1 Â ft
