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Math Calculators

Pentagon Calculator

Verified formula Updated Jun 2026 Private — runs on your device

Enter details
units
Verified formula Private

Area

61.9372

Perimeter
30.0000

For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.

How to use the Pentagon Calculator

The Pentagon Calculator works out your area, along with 1 related figure in an instant. Enter side length and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.

  1. Enter the side length.
  2. Read off your area, together with perimeter — the calculator updates automatically, with no button to press.

Formula

The Pentagon Calculator uses the formula:

Area = 1.720477400588967 × Side length ^ 2

Worked example

For example, with side length of 6 units, the area is 61.9372.

Inputs used
Side length 6 units
Results
Area 61.9372
Perimeter 30.0000

Results are estimates for educational use, not professional advice.

Key terms explained

Perimeter
The total distance around the outside of a two-dimensional shape.
Area
The amount of two-dimensional space a shape covers, measured in square units.

Frequently asked questions

Multiply the side squared by about 1.7205, the standard constant ¼√(5(5 + 2√5)). A side of 6 gives an area of about 61.94 square units.

A regular pentagon has five equal sides, so the perimeter is 5 × side. For a 6-unit side it is 30 units.

Yes. The formula needs all five sides and angles to be equal. Irregular pentagons must be split into triangles instead.

It comes from the exact formula A = ¼ √(5(5 + 2√5)) × side², which evaluates to roughly 1.7205.

The Pentagon Calculator uses the formula: Area = 1.720477400588967 × Side length ^ 2. For example, with side length of 6 units, the area is 61.9372.

Enter the side length. Read off your area, together with perimeter — the calculator updates automatically, with no button to press.

Pentagon Table: Area by Side length

Reference table of area for Pentagon across a range of side length values — exact, engine-computed figures you can read off at a glance.

1 min read

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