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
area = (n * s^2) / (4 * tan(PI / n)
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.

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))

Step-by-step explanation:

*The code is in Python.

Import the math to be able to compute the pi and tan

Ask the user to enter the number of sides and the length of a side

Calculate the area using the given formula

Print the area