求椭圆偏心率的程序

给定两个正整数A和B ，表示方程椭圆的长半轴和半短轴的长度$\frac{x^2}{A^2} + \frac{y^2}{B^2} = 1$ ，任务是找到给定椭圆的偏心率。

例子：

Input: A = 12, B = 9
Output: 0.66

Input: A = 6, B = 3
Output: 0.87

方法：给定的问题可以根据以下公式解决，以计算椭圆的偏心率，其由下式给出：

$\sqrt(1 - \frac{B^2}{A^2})$
where, 
A = Length of semi major axis
B = Length of semi minor axis

因此，打印值$\sqrt(1 - \frac{B^2}{A^2})$作为椭圆的偏心率。

下面是上述方法的实现：

C++

// C++ program for the above approach
 
#include 
using namespace std;
 
// Function to find the
// eccentricity of ellipse
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 = sqrt(1 - semiMinor / semiMajor);
 
    // Print the result
    cout << fixed << setprecision(2)
         << ans;
}
 
// Driver Code
int main()
{
    double A = 12, B = 9;
    findEccentricity(A, B);
 
    return 0;
}

Java

// Java program for the above approach
import java.util.*;
 
class GFG{
 
// Function to find the
// eccentricity of ellipse
static 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 Code
public 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 approach
import math
 
# Function to find the
# eccentricity of ellipse
def 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 Code
if __name__ == "__main__":
 
    A = 12
    B = 9
     
    findEccentricity(A, B)
     
# This code is contributed by ukasp

C#

// C# program for the above approach
using System;
 
class GFG{
 
// Function to find the
// eccentricity of ellipse
static 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 code
static void Main()
{
    double A = 12, B = 9;
     
    findEccentricity(A, B);
}
}
 
// This code is contributed by code_hunt

Javascript

 
// 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 Code
var A = 12;
var B = 9;
 
document.write(findEccentricity(A, B));
    
// This code is contributed by bunnyram19
           

输出：

0.66

时间复杂度： O(1)
辅助空间： O(1)