Question

Approximation of PI: [50 marks] Write a C program that computes an approximation of pi (the mathematical constant used in many trigonometric and calculus applications) to four decimal places. A summation that can be used to compute pi is the following (from calculus).

Answer 1

Answer:

#include <iostream>

#include <cmath>

#include <iomanip>

using namespace std;

double piValue() {

       double p = 1;

       int i = 1;

       while(true) {

               double prev = p;

               p += pow(-1, i) * (1.0 / (1 + 2*i));

               if(abs(prev - p) < 0.00005) {

                       break;

               }

               i++;

       }

       return 4*p;

}

int main() {

       cout << piValue() << endl;

}

**************************************************