Question

A regular hexagon has sides 2 feet long. What is the exact area of the hexagon? What is the approximate area of the hexagon?

Answer 1

The formula for the area of a hexagon is

$A=\frac{3\sqrt[]{3}}{2}s^2$

where 's' is the length of one side of the regular hexagon.

The side of our regular hexagon is 2 feet, therefore, its area is

$\begin{gathered} A=\frac{3\sqrt[]{3}}{2}\cdot(2)^2=6\sqrt[]{3} \\ 6\sqrt[]{3}=10.3923048454\ldots\approx10 \end{gathered}$

The exact area of the hexagon is 6√3 ft², which is approximately 10 ft².