Regular Polygon Area Calculator
How It Works
This regular polygon area calculator uses established formulas to provide accurate results.
The basic rule:
- A = ½ × perimeter × apothem
- apothem = s / (2 × tan(π/n))
- Interior angle = (n-2) × 180° / n
- Perimeter = n × s
Results are estimates. Consult a professional for critical decisions.
Frequently Asked Questions
What is a regular polygon?
A regular polygon has all sides equal in length and all interior angles equal in measure. Examples include equilateral triangles, squares, regular pentagons, and regular hexagons.
What is the apothem of a polygon?
The apothem is the distance from the center of a regular polygon to the midpoint of any side. It is perpendicular to that side and is used in the area formula: A = ½ × perimeter × apothem.
How do you find the interior angle of a regular polygon?
The interior angle of a regular polygon with n sides is (n-2) × 180° / n. For example, a regular hexagon has interior angles of (6-2) × 180° / 6 = 120°.
What is the sum of exterior angles of any polygon?
The sum of exterior angles of any convex polygon is always 360°, regardless of the number of sides. Each exterior angle of a regular polygon equals 360°/n.