91Ó°ÊÓ

A side of a regular hexagon is 8 inches in length. (a) Find the length of the apothem of the hexagon. (b) Find the area of the hexagon. [Answers may be left in radical form.]

Consider a circle inscribed in a square. Let the circle have radius \(\mathrm{r}\). What is the area of the region outside the circle, but inside the square.

The lengths of two corresponding sides of two similar polygons are 4 and \(6 .\) If the area of the smaller polygon is 20 , find the area of the larger polygon.

The area of pentagon \(\mathrm{ABCDE}\) is \(18 \mathrm{sq}\). in.; the area of a similar pentagon \(\mathrm{A}^{\prime} \mathrm{B}^{\prime} \mathrm{C}^{\prime} \mathrm{D}^{\prime} \mathrm{E}^{\prime}\) is \(32 \mathrm{sq}\). in. The diagonal \(\mathrm{AC}\) is 6 in.; find the length of \(\mathrm{A}^{\prime} \mathrm{C}^{\prime}\).