Question

A stained glass window is shaped like a semicircle the bottom edge of the window is 36 inches long what is the area of the stained glass window

Answer 1

check the picture below.

so, if the semi-circle has a diameter of 36, then the radius is half that, or 18


`\bf \textit{area of a semi-circle}\\\\ A=\cfrac{\pi r^2}{2}\quad \begin{cases} r=radius\\ -----\\ r=18 \end{cases}\implies A=\cfrac{\pi 18^2}{2}\implies A=\cfrac{324\pi }{2} \\\\\\ A=162\pi`