# Regular Polygon

## Regular Polygon

Convex polygon or regular star polygon whose sides are congruent and whose interior angles are congruent.

### Properties

• A regular polygon has as many lines of symmetry as it has sides or vertices.
• A polygon that is not a regular polygon is called an irregular polygon.
• A regular polygon may be convex or non-convex.
• All regular star polygons are non-convex polygons. They should not be confused with regular polygons.

### Examples

• A square is a regular polygon.

### Measures of regular polygons

Consider a regular polygon with n sides of lenght n and an apothem of length c and an apothem of $$a$$

.

• The perimeter P is: $$P=ntimes c$$
• The area A is : $$A=frac{Ptimes a}{2}$$.