By number of edges and the length of the edge

The formula for calculating the area of a regular polygon (a polygon with all sides and angles equal) given the number of edges (n) and the length of one edge (s) is:

Area = (n x s²) / (4 x tan(π/n))

where π is the mathematical constant pi (approximately 3.14159), and tan is the tangent function.

Here is an explanation of each part of the formula:

• n: the number of edges (or sides) of the polygon
• s: the length of one edge of the polygon
• π: a mathematical constant representing the ratio of a circle's circumference to its diameter
• tan: a trigonometric function that relates the opposite and adjacent sides of a right triangle
• Area: the result of the calculation, representing the total area enclosed by the polygon

To use this formula, simply plug in the values of n and s and solve the equation to find the area of the regular polygon. It is important to note that this formula only works for regular polygons; finding the area of an irregular polygon (a polygon with sides and angles of varying lengths and measurements) requires a different approach.