Question

Find the area of a regular hexagon with the given measurement.

2 sqrt 3 apothem

A =

Answer 1

all you're given is the apothem, right? nothing else

Answer 2

I'll give you the formula of the hexagon which is \[A=\frac{ 3\sqrt{3} }{ 2 }a ^{2}\]

Answer 3

@jdoe0001 yep thats it

Answer 4

ok so...let's see

Answer 5

\(\bf \textit{area of a regular polygon}=nr^2\cdot tan\left(\cfrac{180}{n}\right)\quad
\begin{cases}
n=\textit{number of sides}\\
r=apothem
\end{cases}\)

Answer 6

is a HEXAgon.... so it has 6 sides
and you have the apothem
plug and chug

Answer 7

is it 30 sqrt 3?

Answer 8

well... keep in mind that
is a bit more than 30
\(\bf \textit{area of a regular polygon}=nr^2\cdot tan\left(\cfrac{180}{n}\right)\quad
\begin{cases}
n=\textit{number of sides}\to 6\\
r=apothem\to 2\sqrt{3}
\end{cases}
\\ \quad \\

6\cdot (2\sqrt{3})^2\cdot tan\left(\cfrac{180}{6}\right)\implies 6\cdot 2^2(\sqrt{3})^2\cdot tan\left(\cfrac{\cancel{ 180 }}{\cancel{ 6 }}\right)
\\ \quad \\
6\cdot 4\cdot 3\cdot tan\left(30\right)\)

Answer 9

anyhow.. need to dash...but is pretty straightfoward from there

Answer 10

ok thnx

Answer 11

that one is tricky