Area of a Regular Hexagon

Consider a regular hexagon, which is a polygon with six equal sides and angles. Let each side of the hexagon be 4 units long. Determine the area of the hexagon.

Recall that the formula for the area of a regular polygon can be expressed as:

$A = \f\frac{1}{4}n s^2 \cot \left(\f\frac{\pi}{n}\right)$

where:

• $A$ is the area
• $n$ is the number of sides
• $s$ is the length of one side