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Heptagon Area Calculator

Work out heptagon area instantly with clear inputs, formula shown and shareable results.

About Heptagon Area Calculator

A regular heptagon has 7 equal sides. Splitting it into 7 isosceles triangles from the centre gives A = 7s² / (4·tan(π/7)), which evaluates to (7/4)·cot(π/7)·s² ≈ 3.633912·s².

Formulas

Area

A = 7s² / (4·tan(π/7)) = (7/4)·cot(π/7)·s² ≈ 3.633912·s²

Apothem

a = s / (2·tan(π/7))

Worked example

With the default values below, Heptagon Area Calculator returns Area of one heptagon of 130.8208. Change any input above and every figure here is recalculated in your browser.

Inputs used

Side lengthminimum 0
6
Number of shapesminimum 1
1

Results

Area of one heptagon
130.8208
Perimeter
42.0000
Apothem
6.2296
Total area of all shapes
130.8208

Step by step

  1. 1Values used
  2. 2Area
  3. 3Apothem
  4. 4Area of one heptagon= 130.8208
  5. 5Perimeter= 42.0000
  6. 6Apothem= 6.2296
  7. 7Total area of all shapes= 130.8208

Assumptions and limits

  • The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
  • Figures are rounded for display to 4 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

What is the interior angle of a regular heptagon?

(7 − 2) × 180° / 7 = 128.57°.

Does the formula need a regular heptagon?

Yes. For an irregular heptagon use the shoelace formula on its vertex coordinates instead.

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