Question

A regular octagon has a side of approximately 6.2 cm and an apothem of approximately 7.5 cm.Find the area of the octagon.

Answer 1

Given:

The side of a regular octagon = 6.2 cm

The apothem of a regular octagon = 7.5 cm

To find- the area of the octagon.

Explanation-

We know that octagon is divided into 8 small triangles.

The area of one triangle is computed below.

`\begin{gathered} Area=(1)/(2)* base* height \\ Area=(1)/(2)*6.2*7.5 \\ Area=3.1*7.5 \\ Area=23.25cm^2 \end{gathered}`

Thus, the area of the octagon will be

`\begin{gathered} =8*23.25 \\ =186cm^2 \end{gathered}`

The answer is 186cm^2.