Answer:
75.40 feet
Step-by-step explanation:
For the two small semicircles, the circumference is [tex]\frac{1}{2} 2\pi r[/tex], or just [tex]\pi r[/tex]. Since the radius is 1/2(16), or 8, the combined circumference of the two semicircles is 16[tex]\pi[/tex]. Now, for the area of the quarter circle in the middle, we see that its radius is 16, and so its circumference is [tex]\frac{1}{4} 2\pi r[/tex], or [tex]\frac{1}{2} \pi 16[/tex] = 8[tex]\pi[/tex]. So, the perimeter of the fountain is 16[tex]\pi[/tex] + 8[tex]\pi[/tex] = 24[tex]\pi[/tex], or about 75.40 feet.
Hope this helped! :)
