Program to calculate area of a rhombus whose one side and diagonal are given

Given the length of diagonal ‘d1’ of a rhombus and a side ‘a’, the task is to find the area of that rhombus.

A rhombus is a polygon having 4 equal sides in which both the opposite sides are parallel, and opposite angles are equal.



Examples:

Input: d = 15, a = 10
Output: 99.21567416492215

Input: d = 20, a = 18
Output: 299.3325909419153

Approach:

  • Get the diagonal ‘d1’ and side ‘a’ of the rhombus
  • We know that,
  • But since we don’t know the other diagonal d2, we cannot use this formula yet
  • So we first find the second diagonal d2 with the help of d1 and a

  • Now we can use the area formula to compute the area of the Rhombus

C++

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// C++ program to calculate the area of a rhombus
// whose one side and one diagonal is given
#include<bits/stdc++.h>
using namespace std;
  
// function to calculate the area of the rhombus
double area(double d1, double a)
{
      
    // Second diagonal
    double d2 = sqrt(4 * (a * a) - d1 * d1);
  
    // area of rhombus
    double area = 0.5 * d1 * d2;
  
    // return the area
    return area;
}
  
// Driver code
int main()
{
    double d = 7.07;
    double a = 5;
    printf("%0.8f", area(d, a));
}
  
// This code is contributed by Mohit Kumar

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Java

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// Java program to calculate the area of a rhombus
// whose one side and one diagonal is given
class GFG
{
  
    // function to calculate the area of the rhombus
    static double area(double d1, double a)
    {
          
        // Second diagonal
        double d2 = Math.sqrt(4 * (a * a) - d1 * d1);
      
        // area of rhombus
        double area = 0.5 * d1 * d2;
      
        // return the area
        return area;
    }
      
    // Driver code
    public static void main (String[] args) 
    {
        double d = 7.07;
        double a = 5;
        System.out.println(area(d, a));
    }
}
  
// This code is contributed by AnkitRai01

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Python3

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# Python program to calculate
# the area of a rhombus
# whose one side and 
# one diagonal is given
  
# function to calculate 
# the area of the rhombus
def area(d1, a):
      
    # Second diagonal
    d2 = (4*(a**2) - d1**2)**0.5
      
    # area of rhombus
    area = 0.5 * d1 * d2
      
    # return the area
    return(area)
  
# driver code
d = 7.07
a = 5
print(area(d, a))

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C#

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// C# program to calculate the area of a rhombus
// whose one side and one diagonal is given
using System;
  
class GFG
{
  
    // function to calculate the area of the rhombus
    static double area(double d1, double a)
    {
          
        // Second diagonal
        double d2 = Math.Sqrt(4 * (a * a) - d1 * d1);
      
        // area of rhombus
        double area = 0.5 * d1 * d2;
      
        // return the area
        return area;
    }
      
    // Driver code
    public static void Main (String []args) 
    {
        double d = 7.07;
        double a = 5;
        Console.WriteLine(area(d, a));
    }
}
  
// This code is contributed by Arnab Kundu

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Output:

24.999998859949972


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