Rhombus – Definition, Area & Perimeter


You’ve probably seen the diamond form in the playing cards. Rhombi are all parallelograms and kites. If the rhombus’s angles are all 90 degrees, it is a square.

A rhombus is a form of quadrilateral in Euclidean geometry. It is a kind of parallelogram in which the diagonals connect at 90 degrees. This is the fundamental feature of the rhombus. A rhombus has the form of a diamond. As a result, it is also known as a diamond.

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Area of Rhombus

The area of a rhombus on a two-dimensional plane is defined as the amount of space surrounded or encompassed by a rhombus. A rhombus is a specific sort of parallelogram in which all sides are equal. The internal angle of a rhombus can be used to distinguish it from a square. A rhombus’ internal angle does not have to be a straight angle. Depending on the characteristics we have, we may compute the area of rhombus in a variety of methods.

Area of Rhombus – Formula

The formula of Area of Rhombus: ½ x ((a*b) product of the lengths of the diagonals)

Where a and b are lengths of diagonals of the rhombus

What is a Rhombus?

A rhombus is a four-sided quadrilateral that is a particular case of a parallelogram. The opposing sides of a rhombus are parallel, and the opposite angles are equal. Furthermore, all the sides of a rhombus are the same length, and the diagonals intersect at right angles. A rhombus is frequently referred to as a diamond or rhombus diamond. Rhombi or rhombuses is the plural form of rhombus.

Rhombus Angles

There are a total of four angles in a rhombus. The following are some noteworthy facts concerning rhombus angles.

  • The inner angles of a rhombus are four.
  • The total of a rhombus’ internal angles equals 360 degrees.
  • A rhombus’s opposite angles are equal in measure.
  • The adjacent angles are extraneous.
  • Diagonals in a rhombus intersect at 90 degrees.
  • These angles are bisected by the diagonals of a rhombus.

What is the Perimeter of a Rhombus?

The perimeter of a rhombus is defined as the sum of all sides of a rhombus. The rhombus is known to be a quadrilateral in which all four sides of the rhombus are of the same measure. A rhombus is always a parallelogram, yet a parallelogram may not necessarily be a rhombus constantly.

Properties of Rhombus

  • The rhombus has equal sides on all sides.
  • A rhombus’s opposite sides are parallel.
  • A rhombus’s opposite angles are equal.
  • Diagonals in a rhombus intersect at 90 degrees.
  • A rhombus’ angles are bisected by diagonals.
  • The product of two adjacent angles equals 180 degrees.
  • A rhombus’s two diagonals generate four right-angled triangles that are congruent to each other.
  • When you link the midpoints of the sides, you will receive a rectangle.
  • When you combine the midpoints of half the diagonal, you obtain another rhombus.
  • Around a rhombus, there can be no circumscribing circle.

Rhombus in Daily Life

You may not realize it, but we are surrounded by rhombuses in real life as well. Rhombuses may be found in several items around us, including a kite, automobile windows, rhombus-shaped earrings, building structures, mirrors, and even a portion of a baseball field.

Diamonds are one-of-a-kind forms because they feature a variety of geometric properties. A diamond is known to be a quadrilateral, which is a two-dimensional flat shape with four closed, straight sides. A diamond, on the other hand, is classified as a rhombus since it has 4 equal sides and opposing angles that are equal.

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