Question

Find the area of a regular hexagon with side length 8 in.

Answer 1

notice, a HEXAgon, has HEXA sides, 6 sides


`\bf \textit{area of a regular polygon}\\\\ A=\cfrac{1}{4}ns^2cot\left( (180)/(n) \right)\qquad \begin{cases} n=\textit{number of sides}\\ s=\textit{length of one side}\\ (180)/(n)=\textit{angle in degrees}\\ ----------\\ n=6\\ s=8 \end{cases} \\\\\\ A=\cfrac{1}{4}\cdot 6\cdot 8^2\cdot cot\left( (180)/(6)\right)`

the angle is in degrees, thus, make sure your calculator is in Degree mode, when getting the cotangent

Answer 2

about 166.28i n²i hope this helps!