Question

What is the area of the regular octagon?

A. 946.4 cm2
B. 1892.8 cm2
C. 709.8 cm2
D.118.c cm2

Answer 1

so, the octagon has 8 sides, OCTA=8, each side is 14 cm long, meaning its perimeter is 14+14+14+14+14+14+14+14, or just 8(14) = 112.

its apothem is 16.9.

`\bf \textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap~~ \begin{cases} a=apothem\\ p=perimeter\\[-0.5em] \hrulefill\\ p=112\\ a=16.9 \end{cases}\implies A=\cfrac{1}{2}(16.9)(112)\implies A=946.4`