Regular Polygon Area Calculator
The area of a regular polygon is the measure of the space enclosed within its boundaries. A regular polygon is a shape with equal sides and angles. Calculating its area involves specific formulas based on the number of sides it possesses.
How to Use the Calculator ?
Enter the number of sides (n) of the regular polygon.
Enter the length of each side (s) of the regular polygon.
Click on the
When should I use this calculator ?
This calculator is helpful whenever you need to quickly determine the area of a regular polygon without going through extensive manual calculations.
What is the formula for the area of a regular polygon?
The formula for finding the area of a regular polygon is:
n = number of sides
s = length of each side
π = Pi (approximately 3.14159)
Can the calculator find the area for irregular polygons?
No, this calculator is specifically designed for regular polygons with equal sides and angles.
Is there a limit to the number of sides this calculator can handle?
The calculator can compute the area for regular polygons with up to 10 sides, including the option for n sides.
Examples:
Let's find the area of a regular pentagon (5 sides) with each side measuring 6 units.
Solution:
Number of sides (n) = 5
Length of each side (s)= 6 units
Using the formula:
Area = 647.373. units
Consider a regular hexagon (6 sides) with a side length of 8 units.
Solution:
Number of sides (n) = 6
Length of each side (s)= 8 units
Using the formula:
Area = 4661.6656. units
Other polygons include pentagon, hexagon, heptagon, and so on as given the table below.
| Polygon(s) | Name | Number of Sides |
|---|---|---|
| 3-sided | Triangle | 3 |
| 4-sided | Square | 4 |
| 5-sided | Pentagon | 5 |
| 6-sided | Hexagon | 6 |
| 7-sided | Heptagon | 7 |
| 8-sided | Octagon | 8 |
| 9-sided | Nonagon | 9 |
| 10-sided | Decagon | 10 |
| n-sided | n-gon | n |