Regular Polygon Area Calculator
Find the area, perimeter and apothem of a convex regular polygon when the number of sides and side length are known.
How to use this calculator
- Enter an integer number of sides from 3 to 1000 and the length of each side.
- Check the labels and units before using a result outside this page.
- Change one input at a time if you want to compare scenarios.
Formula and method
P = ns; apothem = s ÷ (2 tan(π/n)); A = Papothem ÷ 2
- P = ns; apothem = s ÷ (2 tan(π/n)); A = Papothem ÷ 2
- The polygon must have equal sides and equal angles; irregular outlines need a different method.
Worked examples
Worked example
A regular hexagon with six sides of length 2.
Perimeter is 12; apothem is √3; area is 6√3 ≈ 10.392 square units.
Perimeter is 12; apothem is √3; area is 6√3 ≈ 10.392 square units.
Understanding the result
Find the area, perimeter and apothem of a convex regular polygon when the number of sides and side length are known.
The polygon must have equal sides and equal angles; irregular outlines need a different method.
Important notes
The polygon must have equal sides and equal angles; irregular outlines need a different method.
Displayed outputs are rounded for readability; preserve full precision when continuing a calculation.
Frequently asked questions
What does this regular polygon area calculator show?
Find the area, perimeter and apothem of a convex regular polygon when the number of sides and side length are known.
Which inputs should I check first?
Enter an integer number of sides from 3 to 1000 and the length of each side.
Can the result be used as a final professional specification?
The polygon must have equal sides and equal angles; irregular outlines need a different method.
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Related explanations
Learn the method behind the number or compare the terminology before using the calculator.
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This page provides a calculation tool plus explanatory information so you can understand what the result means and when the underlying method may not fit your situation.