Python Math: Calculate the area of a regular polygon

Last update on April 24 2025 12:44:35 (UTC/GMT +8 hours)

28. Regular Polygon Area Calculator

Write a Python program to calculate the area of a regular polygon.

Sample Solution:

Python Code:

from math import tan, pi
n_sides = int(input("Input number of sides: "))
s_length = float(input("Input the length of a side: "))
p_area = n_sides * (s_length ** 2) / (4 * tan(pi / n_sides))
print("The area of the polygon is: ",p_area)

Sample Output:

Input number of sides: 4                                                                                      
Input the length of a side: 20                                                                                
The area of the polygon is:  400.00000000000006

Pictorial Presentation:

Flowchart:

For more Practice: Solve these Related Problems:

• Write a Python program to calculate the area of a regular polygon given the number of sides and the length of one side, then print the result.
• Write a Python function that computes the area of a regular polygon using the formula based on the apothem and perimeter.
• Write a Python script to prompt the user for the number of sides and side length, calculate the polygon's area, and display the result with appropriate units.
• Write a Python program to compare the area of a regular polygon with different numbers of sides while keeping the side length constant, and print the areas in ascending order.

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