Math
Regular Polygon Area Calculator
Find the area of a regular polygon from its number of sides and side length.
This result is the area enclosed by the regular polygon, measured in square units.
Formula
Regular polygon area = (number of sides × side length squared) ÷ (4 × tangent of (π ÷ number of sides)).
How it works
Enter the side count (at least 3) and the side length. The calculator uses the standard regular-polygon formula, which works for hexagons, octagons, and more.
Worked example
For example, a hexagon with 6 sides of length 4 gives (6 × 4 × 4) ÷ (4 × tangent of (π ÷ 6)) = 41.5692 square units.
FAQs
What does the Regular Polygon Area do?
It takes the values you enter and works out the regular polygon area for you, showing the result straight away.
What should I enter?
Enter ordinary numbers in the boxes above. If a value does not make sense for this calculation, the page will ask you to check it instead of showing a wrong answer.
Can I use the result for homework or everyday math?
Yes. It is a general-purpose math helper; for exam or professional work, still check the steps against your own working.
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