椭圆的周长

椭圆被描述为围绕两个焦点的平面上的曲线，使得到两个焦点的距离之和对于曲线上的每个点都是恒定的。椭圆有两种类型的轴——长轴和短轴。椭圆的最长弦是长轴。与长轴垂直的弦是短轴，它在中心处平分长轴。
给定椭圆的短轴和长轴的长度，任务是找到椭圆的周长。

例子：

Input: a = 3, b = 2 
Output: 16.0109
Input: a = 9, b = 5 
Output: 45.7191 
 

椭圆的周长是：

Perimeter : 2π * sqrt( (a² + b²) / 2 )

其中 a 和 b 分别是长半轴和短半轴。
下面是上述方法的实现：

C++

// C++ program to find perimeter of an Ellipse
#include 
using namespace std;
 
// Function to find the perimeter of an Ellipse
void Perimeter(int a, int b)
{
    float perimeter;
 
    // Compute perimeter
    perimeter = 2 * 3.14 * sqrt((a * a + b * b) / (2 * 1.0));
 
    cout << perimeter;
}
 
// Driver code
int main()
{
    int a = 3, b = 2;
 
    // Function call
    Perimeter(a, b);
 
    return 0;
}

Java

// Java program to find perimeter of
// an Ellipse.
import java.lang.Math;
class GFG1{
   
    // Function to find perimeter of an
    // ellipse.
    static void Perimeter( double a, double b)
    {
        double Perimeter;
           
        // formula to find the Perimeter
        // of an Ellipse.
        Perimeter = (double)2 * 3.14 * Math.sqrt((a * a + b * b) / (2 * 1.0)) ;
           
        // Display the result
        System.out.println("Perimeter: " + Perimeter);
    }
       
    // Driver code
    public static void main (String[] args)
    {
        double a = 3, b = 2;
           
        Perimeter(a , b);
    }
}

Python3

# Python3 program to find perimeter
# of an Ellipse
from math import sqrt
 
# Function to find the perimeter
# of an Ellipse
def Perimeter(a, b):
    perimeter = 0
 
    # Compute perimeter
    perimeter = (2 * 3.14 *
                sqrt((a * a + b * b) /
                           (2 * 1.0)));
 
    print(perimeter)
 
# Driver code
a = 3
b = 2
 
# Function call
Perimeter(a, b)
 
# This code is contributed
# by Mohit Kumar

C#

// C# program to find perimeter of
// an Ellipse.
using System;
     
class GFG1
{
     
    // Function to find perimeter of an
    // ellipse.
    static void Perimeter(double a, double b)
    {
        double Perimeter;
             
        // formula to find the Perimeter
        // of an Ellipse.
        Perimeter = (double)2 * 3.14 *
                     Math.Sqrt((a * a + b * b) / (2 * 1.0));
             
        // Display the result
        Console.WriteLine("Perimeter: " + Perimeter);
    }
         
    // Driver code
    public static void Main (String[] args)
    {
        double a = 3, b = 2;
             
        Perimeter(a , b);
    }
}
 
// This code is contributed by Princi Singh

Javascript

 
// javascript program to find perimeter of
// an Ellipse.
 
    // Function to find perimeter of an
    // ellipse.
    function Perimeter(a , b) {
        var Perimeter;
 
        // formula to find the Perimeter
        // of an Ellipse.
        Perimeter = 2 * 3.14 * Math.sqrt((a * a + b * b) / (2 * 1.0));
 
        // Display the result
        document.write("Perimeter: " + Perimeter);
    }
 
    // Driver code
     
        var a = 3, b = 2;
 
        Perimeter(a, b);
 
// This code contributed by aashish1995
 

输出 ：

16.010921272681344

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