Regular Polygon
Definition

A regular polygon is a polygon where all of the sides are congruent and all of the interior angles are congruent.


Example
Regular polygon

Counterexamples
Irregular polygons

Perimeter and Area of a Regular Polygon
Regular polygon with labels

a: The length of an apothem of the regular polygon

n: The number of sides of the base of the regular polygon

s: The length of a side of the base of the regular polygon


P: The perimeter of the interior of the regular polygon

A: The area of the interior of the regular polygon


P = ns    (there are "n" sides, each of length "s")

Regular polygon area formula

Explanation of Area Formula