Question

To the nearest square unit, what is the area of the regular octagon shownbelow?26.6122OA. 585 square unitsOB. 4682 square unitsOC. 1170 square unitsOD. 2341 square units

Answer 1

The formula to calculate the area of a regular octagon is given to be:

$Area=\frac{1}{2}\times apothem\times perimeter$

The image provided gives the following parameters:

$\begin{gathered} apothem=26.6 \\ side\text{ }length=22 \\ Perimeter=2\times22=176 \end{gathered}$

Therefore, the area will be:

$\begin{gathered} Area=\frac{1}{2}\times26.6\times176 \\ Area=2340.8 \end{gathered}$

Therefore, the appoximate area is