# Find the area of largest circle inscribed in ellipse

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
```

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

 ` `

Output:

```201.062
```

My Personal Notes arrow_drop_up Check out this Author's contributed articles.

If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.

Please Improve this article if you find anything incorrect by clicking on the "Improve Article" button below.

Article Tags :
Practice Tags :

Be the First to upvote.

Please write to us at contribute@geeksforgeeks.org to report any issue with the above content.