Identify the area of a regular hexagon with side length 14 in. rounded to the nearest tenth.
A ≈ 169.7 in2
A ≈ 678.9 in2
A ≈ 1018.4 in2
A ≈ 509.2 in2

Respuesta :

[tex]\bf \textit{area of a regular polygon}\\\\ A=\cfrac{1}{4}ns^2\ cot\left( \frac{180}{n} \right)\qquad \begin{cases} s=\textit{length of a side}\\ n=\textit{number of sides}\\ \frac{180}{n}=\textit{angle in degrees}\\ ----------\\ s=14\\ n=6\leftarrow hexagon \end{cases} \\\\\\ A=\cfrac{1}{4}\cdot 6\cdot 14^2\cdot cot\left( \frac{180}{6} \right)[/tex]

make sure your calculator is in Degree mode

Answer:

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