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++

// 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

Java

// 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

Python3

# 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))

C#

// 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

Javascript

<script>
// javascript program to calculate the area of a rhombus
// whose one side and one diagonal is given
// function to calculate the area of the rhombus
function area(d1 , a)
{

    // Second diagonal
    var d2 = Math.sqrt(4 * (a * a) - d1 * d1);

    // area of rhombus
    var area = 0.5 * d1 * d2;

    // return the area
    return area;
}

// Driver code
var d = 7.07;
var a = 5;
document.write(area(d, a));

// This code is contributed by 29AjayKumar
</script>

Output:

24.999998859949972

Time Complexity: O(log(n)) as inbuilt sqrt function is used

Auxiliary Space: O(1)