Regular Polygon Calculator
This tool helps you calculate the properties of a regular polygon, including its perimeter, area, and interior angles. It is designed for students, teachers, and professionals who need precise geometric calculations.
Polygon Calculator Form
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Data Source and Methodology
All calculations are based on standard geometric formulas for regular polygons. For more detailed information, refer to the calculatorsoup.com source.
All calculations are strictly based on the formulas and data provided by this source.
The Formula Explained
Perimeter: \( P = n \times s \)
Area: \( A = \frac{n \times s^2}{4 \times \tan(\frac{\pi}{n})} \)
Interior Angle: \( \text{Angle} = \frac{(n-2) \times 180}{n} \)
Glossary of Terms
- Number of Sides (n): The total number of sides of the polygon.
- Length of Each Side (s): The length of one side of the polygon.
- Perimeter (P): The total distance around the polygon.
- Area (A): The space enclosed by the polygon.
- Interior Angle: The angle formed inside the polygon by two adjacent sides.
Frequently Asked Questions (FAQ)
How do I calculate the perimeter of a regular polygon?
To calculate the perimeter, multiply the number of sides by the length of each side.
What is the formula for the area of a regular polygon?
The area can be calculated using the formula: \( A = \frac{n \times s^2}{4 \times \tan(\frac{\pi}{n})} \).
How do I find the interior angle of a regular polygon?
The interior angle can be calculated using the formula: \( \text{Angle} = \frac{(n-2) \times 180}{n} \).
What is a regular polygon?
A regular polygon is a geometric figure with all sides and angles equal.
Can I use this calculator for irregular polygons?
No, this calculator is specifically designed for regular polygons where all sides and angles are equal.