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.
[tex]\begin{gathered} Area=\frac{1}{2}\times base\times height \\ Area=\frac{1}{2}\times6.2\times7.5 \\ Area=3.1\times7.5 \\ Area=23.25cm^2 \end{gathered}[/tex]
Thus, the area of the octagon will be
[tex]\begin{gathered} =8\times23.25 \\ =186cm^2 \end{gathered}[/tex]
The answer is 186cm^2.
