`A = 1/4 * sqrt( 5*(5 + 2* sqrt(5)))* ( "s" )^2`

Enter a value for all fields

This Area of a Pentagon calculator computes the area of a regular pentagon, a polygon with 5 equal sides of length (s).

INSTRUCTIONS: Choose units and enter the following:

• (s) Length of Sides of pentagon

AREA (A): The area is returned in square meters.  However, this can be automatically converted to compatible units (e.g., square feet, acres) via the pull-down menu.

For the Volume of a Pentagon shaped column, CLICK HERE.

The Math

A regular pentagon has five equal sides and equal angles.  The formula for the area of a regular pentagon is as follows:

`A = 1/4 * sqrt( 5*(5 + 2* sqrt(5)))* s^2`

where:

• A = Area of the Pentagon
• s = Length of the sides

Area of a Polygon Calculators

• Area of Triangle -  Three Sides
• Area of Quadrilateral - Four Sides
• Area of Pentagon - Five Sides
• Area of Hexagon - Six Sides
• Area of Heptagon - Seven Sides
• Area of Octagon - Eight Sides
• Area of Nonagon - Nine Sides
• Area of Decagon - Ten Sides
• Area of Hendecagon - Eleven Sides
• Area of Dodecagon - Twelve Sides
• Area of Polygon  -  Any number of sides (n).