Math

Heptagon Calculator

Find the area and perimeter of a regular heptagon (7 sides).

Calculated Output

Area 130.82

Perimeter 42

Formula: area = (7/4)·s²·cot(π/7)

Step-by-Step Breakdown

1. Values used:

2. Side length = 6

4. Area = 130.82

5. Perimeter = 42

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The math behind it

Area = (n/4)·s²·cot(π/n) with n = 7. Each interior angle is about 128.57°.

Side 6 → area ≈ 130.83, perimeter 42.

Can a heptagon be constructed with compass and straightedge?

No — the regular heptagon is famously impossible to construct that way.