Question

A window is made by putting a semicircle on top of a square window. The length of the bottom is 3 ft. find the perimeter of the window.

Answer 1

see the figure below to better understand the problem

The perimeter of the window is equal to

$P=3\cdot(3)+\frac{1}{2}\cdot\pi\cdot D$

where

D=3 ft ----> diameter of the semicircle

substitute

$\begin{gathered} P=3\cdot(3)+\frac{1}{2}\cdot\pi\cdot3 \\ P=9+\frac{3\pi}{2} \\ P=13.71\text{ ft} \end{gathered}$

The answer is 13.71 ft (rounded to two decimal places)