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Rhombus Area Calculator

Introduction

Welcome to our Rhombus Area Calculator! which will help you calculate the Rhombus’ area quickly and accurately. A Rhombus is a two-dimensional closed figure with four sides, where opposite sides are parallel, and all sides are also of equal length. The rhombus is considered a special case of a parallelogram, i.e. an equilateral parallelogram.

The area of the rhombus is the space that the shape occupies, and it is dependent on the length of the diagonals of the rhombus.

We measure The rhombus’ area in square units, and generally we use units including sq cm, sq m, sq feet, sq inch, etc.

How to use the Rhombus Area Calculator?

Using the Rhombus Area calculator, you can calculate the area of the rhombus by inputting the values of the length of both diagonals of the rhombus.

The variables in the Rhombus Area Calculator include:

Diagonal (D1)
The length of the first diagonal of the Rhombus.

Diagonal (D2)
The length of the second diagonal of the Rhombus

Area of the Rhombus (A)
We can calculate the area of the rhombus using the formula

A=12×d1×d2\text{A} = \normalsize \dfrac{1}{2} \times d_1 \times d_2

Where,

d1 = Length of Diagonal 1 of Rhombus

d2 = Length of Diagonal 2 of Rhombus

What is a Rhombus?

A rhombus is a closed polygon with four sides, and these four sides are of equal length. So, the opposite sides of the Rhombus are parallel to each other.

So, you might ask what is the difference between a square and a Rhombus? The answer is that the angles of a rhombus need not necessarily have to be right angles, but for the square, the angles have to be right angles.

You could also say that the square is a case of Rhombus where all the angles of the Rhombus happen to be equal to 90 degrees.

In summary, let’s look at the properties of the Rhombus:

  1. All sides are equal

  2. Opposite sides are parallel

  3. Opposite angles of a rhombus are equal

  4. The sum of all interior angles in 360 degrees

  5. Diagonals bisect each other

  6. The sum of two adjacent angles is equal to 180 degrees.

In addition, there are different names for the rhombus, like diamond or lozenge.

How is the area of the Rhombus Calculated?

The total space occupied by the Rhombus in a two-dimensional plane is the area of the rhombus.

It could also be thought of as the number of square units required to fill the region inside the rhombus. Hence the measurement will be in square units.

We can calculate the area of the Rhombus using the following formula.

A=12×d1×d2\text{A} = \normalsize \dfrac{1}{2} \times d_1 \times d_2

Where,

d1 = Length of Diagonal 1 of Rhombus

d2 = Length of Diagonal 2 of Rhombus

Examples

Let’s say there is a Rhombus, that has diagonals with lengths d1 = 6cm and d2 = 10cm. Find the area of the rhombus.

We can calculate the area of the rhombus using the following formula

A=12×6cm×10cm=60  cm22=30  cm2\begin{aligned} \text{A} &= \normalsize \dfrac{1}{2} \times 6cm \times 10cm \\[10pt] &= \normalsize \dfrac{60\;cm^2}{2} \\[10pt] &= 30\; cm^2 \end{aligned}

Therefore, the area of the Rhombus is 30 square cm.

Author

hexacalculator design team

Our team blends expertise in mathematics, finance, engineering, physics, and statistics to create advanced, user-friendly calculators. We ensure accuracy, robustness, and simplicity, catering to professionals, students, and enthusiasts. Our diverse skills make complex calculations accessible and reliable for all users.

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