Conversions
Area converter
Convert area measurements from square metres into common metric and imperial units.
Calculators / Math / Regular polygon area
Regular polygon area calculator
Calculate area and perimeter of a regular polygon.
On this page
Area10.39square units
Perimeter12units
Calculator controls
How to calculate
Calculate area and perimeter of a regular polygon.
Area = n*s^2/(4*tan(pi/n)); Perimeter = n*s
Worked example
Number of sides: 6; Side length: 2.
Area: 10.39 square units; Perimeter: 12 units.
Assumptions and limits
No. Equal side lengths alone are not enough. An irregular polygon needs additional angles, diagonals or vertex coordinates.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
This formula applies only to a regular polygon, whose sides and interior angles are all equal. The tangent argument is in radians.
When this tool is useful
Calculate area and perimeter of a regular polygon.
Understanding your inputs
| Input | What to enter |
|---|---|
| Number of sides | Enter a number of at least 3 and no more than 10000. |
| Side length | Enter a number of at least 0 and no more than 1000000000. |
Frequently asked questions
Can I use this for an irregular plot of land?
No. Equal side lengths alone are not enough. An irregular polygon needs additional angles, diagonals or vertex coordinates.