Pentagon Calculator

Use our free pentagon calculator to compute the area and perimeter of a regular pentagon. Enter the side length and get instant results.

Math

Side Length (s)

Formula

A regular pentagon is a polygon with five equal sides and five equal angles. This calculator computes the area using A = ¼v(5(5+2v5)) × s² and the perimeter as P = 5s.

A = ¼v(5(5+2v5)) × s², P = 5s

Percentage: The percentage value you want to apply

Number: The original number or value

Result: The calculated result

How It Works

1Enter the side length of the regular pentagon.
2Click Calculate to compute the area and perimeter.
3Perimeter = 5 × side length.
4Area uses the pentagon-specific constant.

Examples

Regular pentagon with side 7

1.Enter side = 7.
2.P = 5 × 7 = 35 units.
3.A = ¼v(5(5+2v5)) × 49 ˜ 84.30 units².

Result: Area: 84.3044, Perimeter: 35.0000

Regular pentagon with side 4

1.Enter side = 4.
2.P = 5 × 4 = 20 units.
3.A = ¼v(5(5+2v5)) × 16 ˜ 27.53 units².

Result: Area: 27.5276, Perimeter: 20.0000

Frequently Asked Questions

A = ¼v(5(5+2v5)) × s² where s is the side length.

A regular pentagon has 5 angles, each measuring 108°.

P = 5s. Multiply the side length by 5.

The apothem is the distance from the center to the midpoint of a side. It can be used in alternative area formulas.

Yes. A pentagon is a five-sided polygon.

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CalculateMe Team

Last updated: 2026-07-13

Pentagon Calculator

Formula

How It Works

Examples

Regular pentagon with side 7

Regular pentagon with side 4

Frequently Asked Questions

What is the formula for the area of a regular pentagon?

How many degrees in a pentagon?

What is the perimeter formula?

What is the apothem of a pentagon?

Is a pentagon a polygon?

Related Calculators

Pentagon Calculator

Formula

How It Works

Examples

Regular pentagon with side 7

Regular pentagon with side 4

Frequently Asked Questions

What is the formula for the area of a regular pentagon?

How many degrees in a pentagon?

What is the perimeter formula?

What is the apothem of a pentagon?

Is a pentagon a polygon?

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