Python Program to calculate the area of the rhombus

A rhombus is a four-sided polygon with all equal edges and perpendicular diagonals. It is a special type of parallelogram where opposite sides are equal and parallel.

The area of a rhombus is calculated using its diagonals, as they form four triangles within the figure. The mathematical formula is ?

Area = (p × q) / 2

Where p and q are the lengths of the diagonals.

Input Output Scenarios

Let us look at some input-output scenarios to calculate the area of a rhombus ?

When the product of diagonals is odd:

Input: p = 3, q = 5
Output: Area = 7.5

When the product of diagonals is even:

Input: p = 6, q = 8  
Output: Area = 24.0

Using Mathematical Formula

We can implement a Python program that calculates the area of a rhombus using its standard mathematical formula, with the diagonal lengths as input.

Example

The following example shows the Python implementation for computing rhombus area ?

# Length of rhombus diagonals
p = 6
q = 8

# Calculating area of rhombus
area = (p * q) / 2

# Displaying output
print("Area of the Rhombus:", area)

The output of the above code is ?

Area of the Rhombus: 24.0

Using a Function

We can also use user-defined functions to calculate the rhombus area. The def keyword defines a function that contains the calculation logic.

Example

The following code uses a function to find the rhombus area ?

def rhombus_area(p, q):
    # Calculating area of rhombus
    area = (p * q) / 2
    
    # Returning the calculated area
    return area

# Length of rhombus diagonals
p = 6
q = 8

# Calculate and display area
result = rhombus_area(p, q)
print("Area of the Rhombus:", result)

The output is ?

Area of the Rhombus: 24.0

Taking User Input

For a more interactive program, we can take diagonal lengths as user input ?

def calculate_rhombus_area():
    # Taking input from user
    p = float(input("Enter the length of first diagonal: "))
    q = float(input("Enter the length of second diagonal: "))
    
    # Calculating area
    area = (p * q) / 2
    
    print(f"Area of the rhombus: {area}")

# Call the function
calculate_rhombus_area()

Conclusion

The area of a rhombus is calculated using the formula (p × q) / 2, where p and q are the diagonal lengths. Python functions make the calculation reusable and organized for different diagonal values.