Answer to Question #302077 in Python for Tyler

Question

(Geometry: area of a regular polygon) A regular polygon is an n-sided polygon in which all sides are of the same length and all angles have the same degree (i.e., the polygon is both equilateral and equiangular). The formula for computing the area of a regular polygon is Here, s is the length of a side. Write a program that prompts the user to enter the number of sides and their length of a regular polygon and displays its area. Here is a sample run:

Answer 1

import math

n = int(input("Enter the number of sides: "))

s = float(input("Enter the length of a side: "))

area = (n * s**2) / (4 * math.tan(math.pi/n))

print("The area is: " + str(area))