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Math Calculators

Pentagon Area Calculator

Calculate the area and perimeter of a regular pentagon from its side length, in the unit of your choice.

Area
Perimeter
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About the Pentagon Area Calculator

A regular pentagon has five equal sides and angles. Its area formula comes from dividing the pentagon into five congruent isosceles triangles meeting at the center. The side length, area and perimeter each have their own independent unit selector.

Formula: Area = (1/4) × √(5(5 + 2√5)) × s² · Perimeter = 5s

The regular pentagon is closely linked to the golden ratio, since the ratio of its diagonal to its side equals φ.

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