Area of a Regular Pentagon

Consider a regular pentagon with a side length of $s$. The vertices of the pentagon are labeled as $A$, $B$, $C$, $D$, and $E$. You are to calculate the area of this regular pentagon.

The formula for the area $A$ of a regular polygon with $n$ sides, each of length $s$, is given by:

$$A =\frac{n imes s^2}{4 imes an\frac{ heta}{2}}$$

where $ heta$ is the central angle in radians, calculated as:

$$ heta =\frac{2 heta}{n}$$

For a pentagon, $n = 5$. Based on this, determine the area of the given pentagon in terms of $s$.