Program to find the Area of an Ellipse

Given an ellipse with a semi-major axis of length a and semi-minor axis of length b. The task is to find the area of an ellipse.

In mathematics, an ellipse is a curve in a plane surrounding by two focal points such that the sum of the distances to the two focal points is constant for every point on the curve or we can say that it is a generalization of the circle.

ellipse

Important points related to Ellipse:

  • Center: A point inside the ellipse which is the midpoint of the line segment which links the two foci. In other words, it is the intersection of minor and major axes.
  • Major Axis: The longest diameter of an ellipse is termed as the major axis.
  • Minor Axis: The shortest diameter of an ellipse is termed as minor axis.
  • Chord: A line segment that links any two points on an ellipse.
  • Focus: These are the two fixed points that define an ellipse.
  • Latus Rectum: The line segments which passes through the focus of an ellipse and perpendicular to the major axis of an ellipse, is called as the latus rectum of an ellipse.

Area of an ellipse: The formula to find the area of an ellipse is given below:



Area = 3.142 * a * b

where a and b are the semi-major axis and semi-minor axis respectively and 3.142 is the value of π.

Examples:

Input : a = 5, b = 4
Output : 62.48

Input : a = 10, b = 5
Output : 157.1

C++

filter_none

edit
close

play_arrow

link
brightness_4
code

// C++ program to find area of
// an Ellipse.
#include<bits/stdc++.h>
using namespace std;
  
// Function to find area of an
// ellipse.
void findArea( float a, float b)
{
    float Area;
      
    // formula to find the area
    // of an Ellipse.
    Area = 3.142 * a * b ;
      
    // Display the result
    cout << "Area: " << Area;
}
  
// Driver code
int main()
{
    float a = 5, b = 4;
      
    findArea(a, b);
      
    return 0;
}

chevron_right


Java

filter_none

edit
close

play_arrow

link
brightness_4
code

// Java program to find area of
// an Ellipse.
class GFG {
  
    // Function to find area of an
    // ellipse.
    static void findArea( float a, float b)
    {
        float Area;
          
        // formula to find the area
        // of an Ellipse.
        Area = (float)3.142 * a * b ;
          
        // Display the result
        System.out.println("Area: " + Area);
    }
      
    // Driver code
    public static void main (String[] args)
    {
        float a = 5, b = 4;
          
        findArea(a, b);
    }
}

chevron_right


Python3

filter_none

edit
close

play_arrow

link
brightness_4
code

# Python3 program to find 
# area of an Ellipse.
  
# Function to find area
# of an ellipse.
def findArea(a, b):
      
    # formula to find the 
    # area of an Ellipse.
    Area = 3.142 * a * b ;
      
    # Display the result
    print("Area:", round(Area, 2));
  
# Driver code
a = 5
b = 4;
  
findArea(a, b);
  
# This code is contributed 
# by mits

chevron_right


C#

filter_none

edit
close

play_arrow

link
brightness_4
code

// C# program to find area of
// an Ellipse.
using System;
class GFG 
{
  
    // Function to find area 
    // of an ellipse.
    static void findArea(float a, 
                         float b)
    {
        float Area;
          
        // formula to find the 
        // area of an Ellipse.
        Area = (float)3.142 * a * b ;
          
        // Display the result
        Console.WriteLine("Area: "
                           Area);
    }
      
    // Driver code
    public static void Main ()
    {
        float a = 5, b = 4;
          
        findArea(a, b);
    }
}
  
// This code is contributed 
// by anuj_67.

chevron_right


PHP

filter_none

edit
close

play_arrow

link
brightness_4
code

<?php
// PHP program to find 
// area of an Ellipse.
  
// Function to find area
// of an ellipse.
function findArea($a, $b)
{
    $Area;
      
    // formula to find the 
    // area of an Ellipse.
    $Area = 3.142 * $a * $b ;
      
    // Display the result
    echo "Area: " . $Area;
}
  
// Driver code
$a = 5; $b = 4;
  
findArea($a, $b);
  
// This code is contributed 
// by anuj_67.
?>

chevron_right


Output:

Area: 62.84


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.



Improved By : vt_m, Mithun Kumar



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.