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Math Formulas > Geometry > Area of a Polygon

Area of a Polygon

The area of any polygon is given by:

Π defines the ratio of any circle's circumference to its diameter and is approximately equal to 3.141593, however the value 3.14 is often used.

n is number of sides and s is the length of each side.

The area of a polygon that has infinite sides is the same as the area a circle.

Example: Determine the area of a polygon that has 5 sides and each side is 3 meters in length.

A = (n ∙ s2 / 4) ∙ cot ( Π / n) = (45/4) ∙ cot(3.14 / 5) = 15.495 m2

Online Area Calculator, click on the link will open a new window.

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Area of a Polygon

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