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Find the area of largest circle inscribed in ellipse
  • Last Updated : 24 Jan, 2019

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

Circle Inside Ellipse
Approach : The maximal radius of the circle inscribed in the ellipse is the minor axis of the ellipse.

So, area of the largest circle = π * 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 3.1415926
  
double areaCircle(double b)
{
    double area = pi * b * b;
    return area;
}
  
// Driver Code
int 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 approach
  
import math
  
# Function to return required answer
def areaCircle(b):
    area = math.pi * b * b
    return area
  
  
# Driver Code
a = 10
b = 8
print(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
?>


Output:

201.062

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