`A = 15/4 * ( "s" )^2 cot(pi/15)`

Enter a value for all fields

The Area of a Pentadecagon calculator computes the area of a regular polygon with 15 equal sides and equal angles of 156°.

INSTRUCTIONS: Choose units and enter the following:

• (s) - Length of Side

Total Area: The area (A) is returned in square meters.  However, this can be automatically converted to other area units via the pull-down menu.

The Math / Science

The formula for the area of a pentedecagon is:

A = 15/4 *  s² cot(π/15)

where:

• A = area of the pentedecagon
• s = length of a side

For other area calculators see:

• Area of Circle - Circle approximates a polygon as the number of sides approaches infinity.
• 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).