Area of Circumcircle of a Right Angled Triangle

Given an integer C which is the length of the hypotenuse of a right angled triangle of a circumcircle passing through the centre of the circumcircle. The task is to find the area of the circumcircle.

Examples:

Input: C = 8
Output: 50.26

Input: C = 10
Output: 78.53

Approach: Since the hypotenuse C passes through the center of the circle, the radius of the circle will be C / 2.
And we know that the area of a circle is PI * r2 where PI = 22 / 7 and r is the radius of the circle.
Hence the area of the circumcircle will be PI * (C / 2)2 i.e. PI * C2 / 4.



Below is the implementation of the above approach:

C++

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// C++ program to find the area of Cicumscribed
// circle of right angled triangle
#include <bits/stdc++.h>
#define PI 3.14159265
using namespace std;
  
// Function to find area of
// circumscribed circle
float area_circumscribed(float c)
{
    return (c * c * (PI / 4));
}
  
// Driver code
int main()
{
    float c = 8;
    cout << area_circumscribed(c);
    return 0;
}
  
// This code is contributed by Shivi_Aggarwal

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C














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// C program to find the area of Cicumscribed 


// circle of right angled triangle 


#include <stdio.h> 


#define PI 3.14159265 


  


// Function to find area of 


// circumscribed circle 


float area_circumscribed(float c) 


{ 


    return (c * c * (PI / 4)); 


} 


  


// Driver code 


int main() 


{ 


    float c = 8; 


    printf("%f", 


           area_circumscribed(c)); 


    return 0; 


} 



















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Java














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// Java code to find the area of circumscribed 


// circle of right angled triangle 


import java.lang.*; 


  


class GFG { 


  


    static double PI = 3.14159265; 


  


    // Function to find the area of 


    // circumscribed circle 


    public static double area_cicumscribed(double c) 


    { 


        return (c * c * (PI / 4)); 


    } 


  


    // Driver code 


    public static void main(String[] args) 


    { 


        double c = 8.0; 


        System.out.println(area_cicumscribed(c)); 


    } 


} 



















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Python3














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# Python3 code to find the area of circumscribed  


# circle of right angled triangle 


PI = 3.14159265


      


# Function to find the area of  


# circumscribed circle 


def area_cicumscribed(c): 


    return (c * c * (PI / 4)) 


      


# Driver code 


c = 8.0


print(area_cicumscribed(c)) 



















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C#














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// C# code to find the area of 


// circumscribed circle 


// of right angled triangle 


using System; 


  


class GFG { 


    static double PI = 3.14159265; 


  


    // Function to find the area of 


    // circumscribed circle 


    public static double area_cicumscribed(double c) 


    { 


        return (c * c * (PI / 4)); 


    } 


  


    // Driver code 


    public static void Main() 


    { 


        double c = 8.0; 


        Console.Write(area_cicumscribed(c)); 


    } 


} 



















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PHP














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<?php 


// PHP program to find the  


// area of Cicumscribed  


// circle of right angled triangle 


$PI = 3.14159265; 


  


// Function to find area of  


// circumscribed circle 


function area_circumscribed($c) 


{ 


    global $PI; 


    return ($c * $c * ($PI / 4)); 


} 


  


// Driver code 


$c = 8; 


echo(area_circumscribed($c)); 


?> 



















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Output:


50.265484







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