Pentagon Area Calculator

Use this pentagon area calculator to calculate pentagon area quickly by entering the side length. The pentagon area formula provides accurate results.

Formula

Area = (1/4) × √(5(5 + 2√5)) × a²

a = side length
Use this formula to calculate the area of a regular pentagon.

Popular Examples

aArea
26.88191
315.4843
427.5276
542.0449
659.0550

How To Calculate Without A Calculator

1. Take the side length (a).
2. Square the side length.
3. Multiply by √(5(5 + 2√5))/4 to find the area.

About This Calculator

This pentagon area calculator automatically computes the area using the pentagon area formula with up to six decimal places.

Interesting Facts About Pentagons

• Regular pentagons have equal sides and angles.
• Pentagons appear in architecture and tiling patterns.
• The area formula involves the golden ratio via √5.
• Pentagons are part of the structure of many flowers and natural patterns.
• The US Pentagon building has a pentagonal shape.