Question

A fountain is made up of two semicircles and a quarter circle. Find the perimeter of the fountain. Round to the nearest foot.14 ft14 ftThe perimeter of the fountain is about feet.

Answer 1

`(35)/(2)\pi\approx54.97\approx55ft`

1) Note that this fountain is made up of 2 semicircles, and 1 quarter circle. Note also that the diameter of those semicircles is 14 ft then the radius is 7

The perimeter can be found this way:

`\begin{gathered} 2\:semicircles=(2\pi r)/(2)+(2\pi r)/(2)=2\pi r\Rightarrow C=2\pi(7)\Rightarrow C=14\pi \\ 1\:quarter\:=(2\pi r)/(4)=(\pi r)/(2)\Rightarrow(7\pi)/(2) \\ \\ \end{gathered}`

2) Now, let's add them up:

`14\pi+(7\pi)/(2)=(35)/(2)\pi`

Thus this is approximately 55 ft