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

Recommended: Please try your approach on {IDE} first, before moving on to the solution.

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 Cicumscribed ` `// 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 Cicumscribed ` `// 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

 ` `

Output:

```50.265484
```

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Improved By : Shivi_Aggarwal