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: 50.26Input: 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 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 |
C
// 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; } |
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 = 8.0print(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
<?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)); ?> |
50.265484
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