# Polygon Formula

## Polygon Formula

A polygon is a closed, two-dimensional figure composed of straight lines in geometry. In most cases, it can quickly be determined by the polygon’s number of sides from its name. A triangle is a polygon that has three sides, for instance. A closed 2-D object with three or more straight lines is called a polygon. A polygon must have three sides at a minimum. At the vertices, each side of the line segment crosses another line segment. A closed, two-dimensional polygon in Mathematics is a shape with straight line segments. It does not have three dimensions. A polygon has flat surfaces throughout. A polygon must have three sides at a minimum. The only location at which a line segment can cross another is at the endpoint. One can quickly determine the shape of a polygon from the number of its sides.

### What is Polygon Formula?

The following list includes key Polygon Formula’s:

Formula 1: The sum of an interior polygon’s angles is 180 degrees for regular polygons with n sides (n-2)

Formula 2: [n(n-3)]/2 is the number of diagonals in a “n-sided” polygon.

Formula 3: [(n-2)180°]/n is the measure of each interior angle in a normal n-sided polygon.

Formula 4: A regular n-sided polygon’s outer angle measurement is equal to 360°/n.

The area of a regular polygon is calculated using the formula 5: (number of sides length of one side apothem)/2, where l is the side length and n is the number of sides in the regular polygon.

Formula 6: The area of a regular polygon is given as Area = (Perimeter apothem)/2, where the perimeter equals the number of sides times the length of one side.

### Properties of Polygon

The polygon’s crucial characteristics are

1. The internal angles of all the quadrangles added together equal 360°.
2. A polygon is referred to as concave if at least one of the internal angles is greater than 180 degrees.
3. A simple polygon is one that just has one boundary and does not cross over itself. It is a complicated polygon otherwise.

### Examples Using Polygon Formulas

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