Given two positive integers A and B, representing the length of the semi-major and semi-minor axis of an ellipse of the equation 
, the task is to find the eccentricity of the given ellipse.
Examples:
Input: A = 12, B = 9
Output: 0.66Input: A = 6, B = 3
Output: 0.87
Approach: The given problem can be solved based on the following formula to calculate the eccentricity of an ellipse which is given by:
where,
A = Length of semi major axis
B = Length of semi minor axis
Therefore, print the value of as the eccentricity of the ellipse.
Below is the implementation of the above approach:
C++
// C++ program for the above approach#include <bits/stdc++.h>using namespace std;// Function to find the// eccentricity of ellipsevoid findEccentricity(double A, double B){ // Store the squares of length of // semi-major and semi-minor axis double semiMajor = A * A; double semiMinor = B * B; // Calculate the eccentricity double ans = sqrt(1 - semiMinor / semiMajor); // Print the result cout << fixed << setprecision(2) << ans;}// Driver Codeint main(){ double A = 12, B = 9; findEccentricity(A, B); return 0;} |
Java
// Java program for the above approachimport java.util.*;class GFG{// Function to find the// eccentricity of ellipsestatic void findEccentricity(double A, double B){ // Store the squares of length of // semi-major and semi-minor axis double semiMajor = A * A; double semiMinor = B * B; // Calculate the eccentricity double ans = Math.sqrt(1 - semiMinor / semiMajor); // Print the result System.out.format("%.2f", ans);}// Driver Codepublic static void main(String arr[]){ double A = 12, B = 9; findEccentricity(A, B);}}// This code is contributed by kirti |
Python3
# Python3 program for the above approachimport math# Function to find the# eccentricity of ellipsedef findEccentricity(A, B): # Store the squares of length of # semi-major and semi-minor axis semiMajor = A * A semiMinor = B * B # Calculate the eccentricity ans = math.sqrt(1 - semiMinor / semiMajor) # Print the result print('%.2f' % ans)# Driver Codeif __name__ == "__main__": A = 12 B = 9 findEccentricity(A, B) # This code is contributed by ukasp |
C#
// C# program for the above approachusing System;class GFG{// Function to find the// eccentricity of ellipsestatic void findEccentricity(double A, double B){ // Store the squares of length of // semi-major and semi-minor axis double semiMajor = A * A; double semiMinor = B * B; // Calculate the eccentricity double ans = Math.Sqrt(1 - semiMinor / semiMajor); // Print the result Console.Write(Math.Round(ans, 2));}// Driver codestatic void Main(){ double A = 12, B = 9; findEccentricity(A, B);}}// This code is contributed by code_hunt |
Javascript
<script>// Javascript program for the above approach// Function to find the// eccentricity of ellipse function findEccentricity(A, B){ var semiMajor = A * A; var semiMinor = B * B; var ans = Math.sqrt(1 - semiMinor / semiMajor) return ans.toFixed(2);} // Driver Codevar A = 12;var B = 9;document.write(findEccentricity(A, B)); // This code is contributed by bunnyram19 </script> |
Output:
0.66
Time Complexity: O(1)
Auxiliary Space: O(1)
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