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)+(1)/(2)\cdot\pi\cdot D`

where

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

substitute

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

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