Question

A fountain is made up of two semicircles and a quarter circle. Find the perimeter of the fountain. Round to the nearest hundredth.
PLZ HURRY

Answer 1

Answer:

75.40 feet

Step-by-step explanation:

For the two small semicircles, the circumference is $\frac{1}{2} 2\pi r$, or just $\pi r$. Since the radius is 1/2(16), or 8, the combined circumference of the two semicircles is 16$\pi$. Now, for the area of the quarter circle in the middle, we see that its radius is 16, and so its circumference is $\frac{1}{4} 2\pi r$, or $\frac{1}{2} \pi 16$ = 8$\pi$. So, the perimeter of the fountain is 16$\pi$ + 8$\pi$ = 24$\pi$, or about 75.40 feet.

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