Given an ellipse, with major and minor axis length 2a & 2b respectively. The task is to find the area of the largest circle that can be inscribed in it.
Examples:
Input : a = 5, b = 3 Output : 28.2743 Input : a = 10, b = 8 Output : 201.062
Approach : The maximal radius of the circle inscribed in the ellipse is the minor axis of the ellipse.
So, area of the largest circle = ? * b * b.
Below is the implementation of the above approach:
C++
// CPP program to find// the area of the circle#include <bits/stdc++.h>using namespace std;#define pi 3.1415926double areaCircle(double b){ double area = pi * b * b; return area;}// Driver Codeint main(){ double a = 10, b = 8; cout << areaCircle(b); return 0;} |
Java
// Java Program to find the area // of circle class GFG { static double areaCircle(double b) { // Area of the Reuleaux triangle double area = (double)3.1415926 * b * b; return area; } // Driver code public static void main(String args[]) { float a = 10,b = 8; System.out.println(areaCircle(b)) ; } } // This code is contributed by mohit kumar 29 |
Python3
# Python3 program implementation of above approachimport math# Function to return required answerdef areaCircle(b): area = math.pi * b * b return area# Driver Codea = 10b = 8print(areaCircle(b))# This code is contributed by# Sanjit_Prasad |
C#
// C# Program to find the area // of circle using System;class GFG { static double areaCircle(double b) { // Area of the Reuleaux triangle double area = (double)3.1415926 * b * b; return area; } // Driver code public static void Main() { float b = 8; Console.WriteLine(areaCircle(b)) ; } } // This code is contributed by aishwarya.27 |
PHP
<?php// PHP program to find the area of the circle $GLOBALS['pi'] = 3.1415926;function areaCircle($b) { $area = $GLOBALS['pi'] * $b * $b; return $area; } // Driver Code $a = 10;$b = 8; echo round(areaCircle($b), 3); // This code is contributed by Ryuga?> |
Javascript
<script>// Javascript program to find // the area of the circle function areaCircle(b) { let area = 3.1415926 * b * b; return area; } // Driver Code let a = 10, b = 8; document.write(areaCircle(b)); // This code is contributed by Mayank Tyagi</script> |
Output:
201.062
Time Complexity: O(1)
Auxiliary Space: O(1)
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