Area of a Regular Pentagon

Consider a regular pentagon with a side length of $s$. A regular pentagon is a five-sided polygon where all sides and all angles are equal. The formula for the area $A$ of a regular polygon can be expressed as:

$A =\frac{1}{4} n s^2\frac{1}{ an(\frac{ heta}{2})}$

where:

• $n$ is the number of sides,
• $s$ is the length of each side, and
• $ heta$ is the interior angle given by the formula $ heta =\frac{(n-2) imes 180}{n}$.

For a regular pentagon ($n=5$), calculate the area when the side length $s$ is equal to 6 units.