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

75.40 feet

Explanation:

For the two small semicircles, the circumference is
`(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
`(1)/(4) 2\pi r`, or
`(1)/(2) \pi 16` = 8
`\pi`. So, the perimeter of the fountain is 16
`\pi` + 8
`\pi` = 24
`\pi`, or about 75.40 feet.

Hope this helped! :)