📜  菱形内切圆的面积

📅  最后修改于: 2021-10-23 08:34:01             🧑  作者: Mango

给定一个对角线为ab的菱形,其中包含一个内切圆。任务是根据 a 和 b 找到该圆的面积。
例子:

Input: l = 5, b = 6
Output: 11.582

Input: l = 8, b = 10
Output: 30.6341

处理方法:从图中可以看出,内切圆的半径也是直角三角形AOB的高h=OH 。为了找到它,我们使用三角形面积方程:

其中c = AB即斜边。所以,

因此圆的面积是

下面是上述方法的实现:

C++
// C++ Program to find the area of the circle
// which can be inscribed within the rhombus
#include 
using namespace std;
 
// Function to find the area
// of the inscribed circle
float circlearea(float a, float b)
{
 
    // the diagonals cannot be negative
    if (a < 0 || b < 0)
        return -1;
 
    // area of the circle
    float A = (3.14 * pow(a, 2) * pow(b, 2))
            / (4 * (pow(a, 2) + pow(b, 2)));
    return A;
}
 
// Driver code
int main()
{
    float a = 8, b = 10;
    cout << circlearea(a, b) << endl;
 
    return 0;
}


Java
// Java Program to find the area of the circle
// which can be inscribed within the rhombus
 
public class GFG {
     
    // Function to find the area
    // of the inscribed circle
    public static float circlearea(double a, double b)
    {
        // the diagonals cannot be negative
        if (a < 0 || b < 0)
            return -1 ;
         
        //area of the circle
        float A = (float) ((3.14 * Math.pow(a, 2) * Math.pow(b, 2))
                        / (4 * (Math.pow(a, 2) + Math.pow(b, 2)))) ;
         
        return A ;
    }
 
    // Driver code
    public static void main(String[] args) {
        float a = 8, b = 10 ;
         
        System.out.println(circlearea(a, b));
 
    }
// This code is contributed by ANKITRAI1
}


Python 3
# Python 3 Program to find the area of the circle
# which can be inscribed within the rhombus
 
 
# Function to find the area
# of the inscribed circle
def circlearea(a, b):
 
    # the diagonals cannot be negative
    if (a < 0 or b < 0):
        return -1
 
    # area of the circle
    A = ((3.14 * pow(a, 2) * pow(b, 2))/
        (4 * (pow(a, 2) + pow(b, 2))))
    return A
 
# Driver code
if __name__ == "__main__":
    a = 8
    b = 10
    print( circlearea(a, b))
 
# This code is contributed by ChitraNayal


C#
// C# Program to find the area of the circle
// which can be inscribed within the rhombus
using System;
 
public class GFG {
     
    // Function to find the area
    // of the inscribed circle
    public static float circlearea(double a, double b)
    {
        // the diagonals cannot be negative
        if (a < 0 || b < 0)
            return -1 ;
         
        //area of the circle
        float A = (float) ((3.14 * Math.Pow(a, 2) * Math.Pow(b, 2))
                        / (4 * (Math.Pow(a, 2) + Math.Pow(b, 2)))) ;
         
        return A ;
    }
 
    // Driver code
    public static void Main() {
        float a = 8, b = 10 ;
         
        Console.WriteLine(circlearea(a, b));
 
    }
// This code is contributed by inder_verma..
}


PHP


Javascript


输出:
30.6341