Question

Chapter 4: Programming Project 1
Unlimited tries
(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))
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.
Sample Run
Enter the number of sides: 5
Enter the side: 6.5
The area of the polygon is 72.69
For a hint on this program, please see
https://liangcpp.pearsoncmg.com/cpprevel2e.html.
If you get a logic or runtime error, please refer to
https://liangcpp.pearsoncmg.com/faq.html.

Answer 1

Answer:

#include <iostream>

#include <math.h>

using namespace std;

int main() {

 double n;

 cout << "Enter the number of sides: ";

 cin >> n;

 double s;

 cout << "Enter the side: ";

 cin >> s;

 double area = n * s * s /(4.0 * tan(3.14159265 / n));

 cout << "The area of the polygon is " << area;

}