Question

A Norman window consists of a rectangle surmounted by a semicircle. Find the area of the Norman window shown to the right. How muchwood frame is needed to enclose the window?

Answer 1

`30.2ft`

1) We need to find the Perimeter of that Norman Window, to get to know how much wood frame is necessary.

2) Since the width is 4' and the height of the rectangular part of the window is 10', we can tell that the diameter of that semicircle is 4 and its radius is 2 ft.

3) Hence, we can write the following to find the perimeter:

`\begin{gathered} Semicircle\:Perimeter\:is:\pi r \\ \\ Norman\:window\:perimeter:\:w+l+l+\pi r \\ \\ P=4+10+10+2\pi \\ \\ P=24+2\pi \\ \\ P\approx30.2ft \end{gathered}`