Math

Free Regular Polygon Area Calculator

Area and perimeter of a regular polygon.

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Inputs

Result

Area

41.569

Perimeter24.00
Apothem3.4641

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Short answer

Area and perimeter of a regular polygon.

What is the Regular Polygon Area Calculator?

Area and perimeter of a regular polygon.

How does the Regular Polygon Area Calculator work?

Enter the inputs above and read the result.

Formula

A = n·s² ÷ (4·tan(π/n))

Variables

  • nNumber of sides
  • sSide length

Explanation

A regular polygon splits into n congruent isosceles triangles from the center.

Examples

Applications

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            Related concepts

            The Regular Polygon Area Calculator sits inside the Math Calculators hub, in the geometry & shapes cluster. Length, area, volume and angle in two and three dimensions. Understanding the terms below makes the output easier to interpret and easier to compare against neighbouring measures.

            areaperimetervolumesurface areaanglecoordinate plane

            Practical use cases and industry applications

            Understanding Regular Polygon Area

            Area and perimeter of a regular polygon. Within math calculators, regular polygon area belongs to the geometry & shapes cluster, where it shares terminology and assumptions with closely related tools.

            Learning how regular polygon area is calculated

            A regular polygon splits into n congruent isosceles triangles from the center. Working through the variables one at a time — n, s — makes the result reproducible by hand and easier to sanity-check.

            Using regular polygon area to make a decision

            Because outputs depend on the assumptions you enter, run more than one scenario before committing to a figure.

            How regular polygon area compares with related measures

            area, perimeter, volume, surface area all describe adjacent aspects of geometry & shapes. Comparing this calculator's output against those measures — using the related tools listed on this page — prevents a single metric from being read in isolation.

            Frequently asked questions

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