# Area of Circumcircle of a Right Angled Triangle

• Last Updated : 22 Jun, 2022

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++

 `// C++ program to find the area of Circumscribed``// circle of right angled triangle``#include ``#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`

## C

 `// C program to find the area of Circumscribed``// circle of right angled triangle``#include ``#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;``}`

## Java

 `// 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));``    ``}``}`

## Python3

 `# 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))`

## C#

 `// 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));``    ``}``}`

## PHP

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## Javascript

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Output:

`50.265484`

Time complexity: O(1)

space complexity: O(1)

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