Question

A regular polygon is an n-side 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.

 

Answer 1

Since the area of the polygon is s*s*n / (4 * tan(180⁰ / n)), the code is implemented in c++.

C++ code:

// Import necessary libraries
#include 
#include 
#include 

using namespace std; 

int main() {
    cout << "Enter the number of sides and the length of regular polygon separated by a space" << endl;
    
    // Take input
    float s;
    int n;
    cin >> n >> s;

    // Calculate area by using the formual
    float area = (s * s * n) / (4 * tan(M_PI / n));

    // Print the output
    cout << "The area of the regular polygon is " << area << endl;
    return 0;
}

Please refer to the following picture for the source code:

1 2 3 4 // Import necessary Libraries #include include #include cbits/stdce.h 6 7 using namespace std: int main() { cout << "Enter the number of sides and the length of regular polygon separated by a space" << endl; 9 10 11 12 13 // Take input float si int n; cin »n » S 15 10 // calculate area by using the formual float area = (s. 5. n) / (4 • tan (M_PI /n)): 18 19 20 // Print the output cout << "The area of the regular polygon is " << area << endl; return 8: ) 22 23

Sample execution of the above code:

Enter the number of sides and the length of regular polygon separated by a space 45 The area of the regular polygon is 25