Formula
A regular polygon has equal sides. Its area is:
Area = (number of sides × side²) / (4 × tan(π / number of sides))
A triangle or rectangle that is not regular belongs on those pages.
Assumptions
- All sides are equal.
- The polygon is convex and regular.
Worked example
A regular hexagon with side length 2 has area 10.39.
Input definitions
- Number of sides
- A whole number from 3 to 20.
- Side length
- The length of one equal side.
Limitations
The area is rounded to two decimal places.
Questions
Does this work for an irregular shape?
No. The sides must be equal.
Is a square included?
Yes. Enter 4 sides and the square's side length.