Question

14 in
Find the area of the polygon

Answer 1

`\underset{ \textit{angle in degrees} }{\textit{area of a regular polygon}}\\\\ A=\cfrac{ns^2}{4}\cot\left( (180)/(n) \right) ~~ \begin{cases} n=\stackrel{sides'}{number}\\ s=\stackrel{side's}{length}\\[-0.5em] \hrulefill\\ n=5\\ s=14 \end{cases}\implies A=\cfrac{(5)(14)^2}{4}\cot\left( (180)/(5) \right) \\\\\\ A=36\cot(20^o)\implies A\approx 98.91~m^2 \\\\\\ A=245\cot(36^o)\implies A\approx 337.21~in^2`

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