Rhombus Calculator

Lets first understand, what is a rhombus and how we can find different properties of a rhombus?

Rhombus

A rhombus is a quadrilateral whose all four sides have the same length. Another name for rhombus is equilateral quadrilateral, since equilateral means that all of its sides are equal in length.

The rhombus is often called a diamond.

Every rhombus is a special case of a parallelogram and a kite. A rhombus with right angles is a square.

Basic Properties of a rhombus

1. Opposite angles of a rhombus have equal measure.

2. The two diagonals of a rhombus are perpendicular.

3. Diagonals of a rhombus bisect opposite angles.

Characterizations

1. Every rhombus is a parallelogram, but, every parallelogram is not a rhombus.

2. A rhombus is a parallelogram in which a diagonal bisects an interior angle.

3. A rhombus is a parallelogram in which at least two consecutive sides are equal in length.

4. A rhombus is a parallelogram in which the diagonals are perpendicular.

5. A rhombus is a quadrilateral with four sides of equal length.

6. A rhombus is a quadrilateral in which each diagonal bisects two opposite interior angles.

7. Every rhombus is a kite, and any quadrilateral that is both a kite and parallelogram is a rhombus.

8. A rhombus is a tangential quadrilateral, that means, it has an inscribed circle that is tangent to all four sides.

Formulas

Area of rhombus

Let the 1st diagonal of the Rhombus be \(P\) units,

and the 2nd diagonal of the Rhombus be \(Q\) units.

Area of the Rhombus will be \(\dfrac{1}{2}\left(PQ\right)\) square units.

Perimeter of rhombus

Let the side of the Rhombus be \(L\) units.

Perimeter of the Rhombus will be \(4L\) units.

For calculating different properties of the rhombus using above rhombus calculator, you have to just write the values in the given input boxes and press the calculate button, you will get the result.