Rhombus Calculator

A Rhombus is a two dimensional geometric object with four equal sides and resembles a diamond or kite shape. The opposite sides are parallel and opposite angles are equal. The two diagonals bisect each other at right angles. A Rhombus is classed as a Parallelogram.

Rhombus Calculator
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Rhombus Calculator. This image shows the properties and formula for the Rhombus Calculator

Notes of using the Rhombus Calculator

  1. All sides are equal in a rhombus. Changing the sides affects the altitude and diagonal lengths
  2. The altitude is the perpendicular height. Changing the altitude affects the sides and diagonals
  3. Changing the diagonal length affects the sides, altitude and the angles
  4. Changing the diagonal length affects the sides,altitude and the angles
  5. Changing Angle A affects Angle B, altitude and both diagonals
  6. Changing Angle B affects Angle A, altitude and both diagonals
  7. The area of the rhombus in square units
  8. The outer edge of the rhombus

The Rhombus calculator includes the following algorithms:

Angle A = 180 - Angle B

Angle B = 180 - Angle A

Altitude = sin(B) x S (Sine of Angle B multiplied by Side length)

Area can be calculated several ways:

Area = a x S (Altitude x Sides)

Area = S2 x sin(A) (Side length squared multiplied by the sine of Angle A)

Area = S2 x sin(B) (Side length squared multiplied by the sine of Angle B)

Area = (p x q)/2 (diagonal A-A (p) multiplied by diagonal B-B (q) then the result is divided by two)

Perimeter = 4 x S (Side length multiplied by 4)

Use A Rhombus Calculators for Your Daily Calculations - It's Quick & Easy

Before we start talking about rhombus calculators, let's talk a bit about the rhombus, shall we? But before we do that, we need to know what a quadrilateral is. A quadrilateral is a closed geometric shape with 4 sides and 4 angles. Square, rectangle, trapezium, rhombus, all these shapes are quadrilaterals.

Coming back to the point, a rhombus is a quadrilateral with all 4 sides equal in length. Now, you may wonder that's what a square also is. But here's the difference, all the corners of a square are at right angle (90°). However, a rhombus has equal opposite angles and parallel opposite sides.

What are the Properties of a Rhombus?

Apart from the fact that a kite is the most common and closest example of a rhombus in the lives of most of us, a rhombus has some very interesting properties:

  1. As mentioned earlier, the opposite sides of a rhombus are equal.
  2. The sum of adjacent angles of a rhombus is 180° (supplementary angles).
  3. None of the vertices of a rhombus is 90°.
  4. Diagonals of a rhombus are perpendicular bisectors of each other.
  5. A rhombus is NOT a cyclic quadrilateral.

How to Calculate the Area of a Rhombus?

There are 3 ways to calculate the area of a rhombus.

  1. Using the Diagonals: The simplest way to find the area of rhombus is when you known the length of the diagonals. All you need to do multiply the lengths and divide the product by 2. There, you have the area of the rhombus. For example: if the lengths of diagonals are 4cm and 11 cm, the area of the circle will be (11x4)/2 = 22 cm².
  2. Using Base and Altitude (Height): If you are given the length of the base and the height of the rhombus, all you need to do is multiply them and the product will be area of the rhombus. For example: if the base of a rhombus is 5cm and its height is 2cm, the area of the rhombus will be 5x2 = 10cm².
  3. With the Help of Trigonometry: This is possibly the trickiest method to calculate the area of a rhombus. You'll need the length of side of the rhombus and the acute angle. Multiply the length of the base with itself and then multiply it with the sine of the angle. For example, if the length of the base is 3cm and acute angle is 60°, then the area of the rhombus will be (3x3) x Sin(60°) = 9 x 0.30 = 2.74cm².

Why do I need a Rhombus Calculator?

Now that you know the three ways of calculating the area of a rhombus, you know making calculations fast isn't always possible. The need of an automated and fully functional rhombus calculator becomes even more important when you are to make a plethora of such calculations. This is where the rhombus calculator makes things easy and quick.

The rhombus calculator developed by iCalculator follows all the properties of a rhombus and thus gives accurate results every time.

Calculating Rhombus in Everyday Life

From traffic signs to car windows to intricate buildings, rhombus is often seen in our day to day life. The bigger the surface area, the more we need to consider the aerodynamics and material strength of the implementation.

And the best part about our rhombus calculator is that not only does it tell you the area, it also tells you the perimeter, the adjacent angles and the height of the rhombus. And it does it all in the quickest and easiest way you can possibly imagine!

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