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C# / .NET - Math.PI property example

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Created by:

Trenton-McKinney

618

The Math.PI property returns π number (3.141592653589793...).

xxxxxxxxxx
 
using System;
​
class Program
{
    static void Main(string[] args)
    {
        // ------------------------------------------------------
        // Math.PI value priting:
​
        Console.WriteLine(Math.PI); // 3.141592653589793
​
        // ------------------------------------------------------
        // Math.PI with circle:
​
        double radius = 5;
​
        // 1. Circle surface area:
        double area = Math.PI * Math.Pow(radius, 2);
        Console.WriteLine(area); // 78.53981633974483
​
        // 2. Circle circumference:
        double circumference = 2 * Math.PI * radius;
        Console.WriteLine(circumference); // 31.41592653589793
    }
}

1. Documentation

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Syntax	xxxxxxxxxx 1 namespace System 2 { 3 public static class Math 4 { 5 // ... 6 public const double PI = 3.1415926535897931; 7 // ... 8 } 9 }
Result	`π` number (`3.141592653589793...`).
Description	`PI` is a static property that keeps `π` number what is one of the most important mathematical constants.

2. Nilakantha series example

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To calculate PI number Nilakantha series can be used.

Nilakantha series used to calculate Math.PI in C#.

xxxxxxxxxx
 
using System;
​
public class Program
{
    static double ComputePi(int iterations)
    {
        double approximation = 3;
​
        double a = 2;
        for (int i = 0; i < iterations; i++)
        {
            approximation += 4 / (a * (++a) * (++a));
            approximation -= 4 / (a * (++a) * (++a));
        }
        return approximation;
    }
​
    public static void Main(string[] args) 
    {
        Console.WriteLine( ComputePi(    1 )); // 3.1333333333333333
        Console.WriteLine( ComputePi(    2 )); // 3.1396825396825396
        Console.WriteLine( ComputePi(    5 )); // 3.1414067184965018
        Console.WriteLine( ComputePi(   10 )); // 3.141565734658547
        Console.WriteLine( ComputePi(   20 )); // 3.141589028940776
        Console.WriteLine( ComputePi(   50 )); // 3.1415924109719824
        Console.WriteLine( ComputePi(  100 )); // 3.141592622804848
        Console.WriteLine( ComputePi(  200 )); // 3.1415926497127264
        Console.WriteLine( ComputePi(  500 )); // 3.141592653340544
        Console.WriteLine( ComputePi( 1000 )); // 3.141592653558594
        Console.WriteLine( ComputePi( 2000 )); // 3.141592653585895
        Console.WriteLine( ComputePi( 5000 )); // 3.141592653589538
    }
}