Answer:
perimeter of the fountain = 15π ft. or 47.1 ft. to the nearest 10th
Step-by-step explanation:
The semicircles have a circumference of 1/2πd = 1/2π(10) = 5π
Both semicircles together have a length of 5π + 5π = 10π
The radius of the 1/4 circle is 10, so the diameter is 20
The length of the 1/4 circle's arc is 1/4 times the circumference of its circle
So, the length of that arc is 1/4π(20) = 5π
Now the perimeter of the fountain is 10π + 5π = 15π
