Geometry

Regular Polygon Area

Area of a regular n-gon with side s.

Formula

Formula
A = n s24 tan(πn)

Variables

SymbolDefinitionType & rangeUnitsRole
n number of sides integer (ℤ) input
s side length real number (ℝ) input

Try it yourself

Interactive calculator
Result

Worked examples

Example 1
Givensides n = 6, side s = 4
Result41.56921938
Example 2
Givensides n = 5, side s = 6
Result61.93718642