Question

The value of π can be approximated by using the following series: The program in main.cpp uses this series to find the approximate value of π. However, the statements are in the incorrect order, and there is also a bug in this program. Rearrange the statements and remove the bug so that this program can be used to approximate π.

The code that they have:

#include <iostream>

#include <iomanip>

using namespace std;

int main()

{

    double pi = 0;

    long i;

    long n;

    

    cin >> n;

    cout << "Enter the value of n: ";

    cout << endl;

    

    if (i % 2 == 0)

        pi = pi + (1 / (2 * i + 1));

    else

        pi = pi - (1 / (2 * i + 1));

    

    for (i = 0; i < n; i++)

    {

        pi = 0;

        pi = 4 * pi;

    }

    

    cout << endl << "pi = " << pi << endl;

    return 0;

}

Answer 1

`Hey,

Note: Brother if you have any queries related the answer please do comment. I would be very happy to resolve all your queries.

#include <iostream>

#include <iomanip>

using namespace std;

int main()

{

double pi = 0;

long i;

long n;

  

cout << "Enter the value of n: ";
cin >> n;

cout << endl;

  

pi = 0;

for (i = 0; i < n; i++)

{

if (i % 2 == 0)

pi = pi + (1.0 / (2.0 * (double)i + 1.0));

else

pi = pi - (1.0 / (2.0 * (double)i + 1.0));

}
pi = 4.0 * pi;

  

cout << endl << "pi = " << pi << endl;

return 0;

}

Kindly revert for any queries

Thanks.