Question

Find the area of regular octagon each of whose sides measures are given below.
(i) 8 cm

Answer 1

Side of the regular octagon = 8 cm
$$\begin{gathered} \therefore \mathrm{Area}\mathrm{of}\mathrm{the}\mathrm{regular}\mathrm{octagon}=2\left(1+\sqrt{2}\right)\times (\mathrm{side}{)}^2 \\ =2\left(1+1.414\right)\times 8^2 \\ =128\times 2.414 \\ =308.992{\mathrm{cm}}^2 \end{gathered}$$

Thus, the area of the regular octagon is 308.992 cm².