Hexagon

A hexagon is a polygon with six sides and six vertices.

Regular Hexagons

A regular hexagon is a polygon with six equal sides and angles.

The triangles formed by joining the center with all the vertices are equal in size and are equilateral.

Angles of the Hexagon

The sum of interior angles of a hexagon = (6 − 2) · 180° = 720°

The value of an interior angle of the regular hexagon is 720º : 6 = 120º

The central angle of the regular hexagon measures: 360º : 6 = 60º

Diagonals of the Hexagon

The number of diagonals = 6 · (6 − 3) : 2 = 9

Diagonals of a Hexagon

Apothem of a Regular Hexagon

Apothem of a Regular Hexagon


Apothem of a Regular Hexagon

By applying the Pythagorean theorem for one of the triangles, we obtain:

Perimeter of a Regular Hexagon

Perimeter = 6 · l

Regular Hexagon

Area of a Regular Hexagon

Area of a Regular Hexagon Formula


Examples

Calculate the apothem, perimeter and area of a regular hexagon inscribed in a circle with a radius of 4 cm.

Hexagon Inscribed in a Circle

P = 6 · 4 = 24 cm


The area of a square is 2,304 cm². Calculate the area of a regular hexagon that has the same perimeter as this square.

Regular Hexagon Area

Regular Hexagon Operations

Regular Hexagon Operations

Regular Hexagon Operations

Regular Hexagon Operations

Regular Hexagon Solution






  •