If for any reason, you need to find out the area of a Rhombus, then you will quickly discover it requires use of the rhombus area formula. If you don’t have time for a mathematics lesson, then this rhombus area calculator can help.
Whether you want to determine a rhombus’s area, its height, length, angles, diagonals – or anything relating to rhombus measurements, then this is the tool for you. Read on to find out the area of a rhombus, a rhombus perimeter, and so much more.
The Properties of a Rhombus
A rhombus goes by many names. You can call it an equilateral quadrilateral, a diamond, a quadrilateral since it has all equal sides or its more straightforward name: Rhombus.
Unlike a square, which is straightforward in what it has to offer, there are several properties of a rhombus. Its two diagonals are perpendicular and bisect each other at opposite angles, and those angles have equal measurements too. It may also interest you to know that a rhombus is a parallelogram as well.
The Formula for the Area of a Rhombus
If you ever come across a situation where you need to work out the area of a rhombus, then the following information will be of assistance. Depending on the information you have, you can measure it in three ways.
If you know the height and base measurements:Area = base x heightIf you know the rhombus diagonal measurements:Area = (e x f) / 2If you know the side and an angle:Area3 = s² x sin (angle)
You might be wondering why, in the last formula, you could choose any angle to enter into the equation. The reasoning for that is because you know the two adjacent angles are supplementary, so:
sin (angle) = sin (180° - angle)
Above, we have listed the most common formulas for working out the area of a rhombus, but there are others too. You can use variations to calculate the area using heights and angles as well.
The Perimeter of a Rhombus
If you know the side length of your rhombus, then finding the perimeter is easy enough. It would merely be 4 x a. However, sometimes, you may only know the diagonals of a rhombus.
You will know by now that the diagonals of a rhombus are perpendicular and bisect each other. In essence, the shape becomes four congruent triangles with legs the same as e/2 and f/2.
From there, you will only need to find the triangle’s hypotenuse, which you can take a shortcut with by using a right-angle triangle calculator.
Then, you multiply the four by the hypotenuse value to get the perimeter of a rhombus. Alternatively, use:
Perimeter = 4 * √(e/2) ²- (f/2) ²)
You can also use a rhombus area calculator, which takes a mere fraction of the time!
How Do You Find the Area of a Rhombus
If you are struggling to work out how to use a rhombus area calculator, then listen up. We can walk you through an example below.
1. Type in your first value. In this example, it’s a side equal to five inches.
2. Type the second value, the angle, which we’ll put at 40 degrees.
3. The rest is automatic! With the calculator and those measurements, you know that the area of your rhombus is 16.07 inches-squared.
Isn’t the rhombus area calculator easy? All you need are two values to use it.
Is a Rhombus a Parallelogram?
One of the most frequently asked questions surrounding a rhombus is whether it’s a parallelogram. Next in line is whether a square is a rhombus. In both cases, the answer is yes. A square is a rhombus, and a rhombus is a parallelogram.
When you consider the definition of a square – which is a shape with four equal sides – then you will know a square is a rhombus. The same concept applies to whether a rhombus is a parallelogram. If it has two sets of parallel sides, it’s a parallelogram.