JAVA HELP . . QUESTION: . Write a Java console application that approximates PI.

Question

JAVA HELP

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QUESTION:

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Write a Java console application that approximates PI. Use a validation loop to prompt and get from the user the number of terms to approximate PI to that is at least 1. Use the following Leibniz formula:

--PI approximation = 4 * (1/1 – 1/3 + 1/5 – 1/7 + 1/9 – 1/11 + …)

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So an approximation to four terms would be:

-- PI approximation = 4 * (1/1 – 1/3 + 1/5 – 1/7)

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Format the approximation to ten decimal places. Continue to prompt the user for the number of terms until they enter -22. Use number of terms 1,000 for the last input.

Explanation / Answer

public class PIApproximation {
  
   public static void main(String[] args) {
       int term =0;
       Scanner sc = new Scanner(System.in);
       while(term != -22){
           System.out.println("Enter Number of Term [-22 for Exit] :");
           if(term != -22){
               term = sc.nextInt();
               System.out.println("PI Approximation : "+getApproximation(term));
           }
       }
       sc.close();
   }
  
   public static double getApproximation(int term){
       double sign = 1.0d;
       double approximation = 0.0d;
       int i =1;
       while(term>0){
           approximation += sign/(double)i;
           sign *= -1.0d;
           i +=2;
           term--;
       }
       return 4.0d*approximation;
   }
}

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