Regular Polygon Area Calculator
Calculate the area, perimeter, and interior angle of a regular polygon given the number of sides and side length.
Area
64.9519
Perimeter30.0000
Interior Angle120.00 deg
Apothem4.3301
Regular Polygon Formulas
Area
Area = (n × s²) / (4 × tan(pi/n))
Alternatively: Area = (1/2) × perimeter × apothem
Interior Angle
Interior angle = (n - 2) × 180 / n degrees
Apothem
Apothem = s / (2 × tan(pi/n))
The apothem is the distance from the center to the midpoint of a side.
Example Calculation
Regular hexagon with side length 5.
- 01Area = (6 × 25) / (4 × tan(pi/6)) = 150 / (4 × 0.5774) ≈ 64.9519
- 02Perimeter = 6 × 5 = 30
- 03Interior angle = (6-2) × 180/6 = 120°
- 04Apothem = 5 / (2 × 0.5774) ≈ 4.3301
Frequently Asked Questions
Learn More
How to Calculate Percentages - Complete Guide
Learn how to calculate percentages step by step. Covers finding a percentage of a number, percentage change, reverse percentages, and real-world applications.