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Difference Between Square and Rhombus
The main difference between a square and a rhombus is that all the angles of a square are equal to 90°, whereas, the angles of a rhombus are not equal to 90°. It is often said that a square is a rhombus, but a rhombus isn’t always a square because a square fulfills all the properties of a rhombus. When a rhombus satisfies all the properties of a square, it becomes a square. Let us learn more about the difference between square and rhombus.
1.  Difference Between Square and Rhombus 
2.  Square and Rhombus Formulas 
3.  Similarities Between Square and Rhombus 
4.  FAQs on Difference Between a Square and Rhombus 
Difference Between Square and Rhombus
A square is a twodimensional figure that has four equal sides and four equal angles. The sides of a square are perpendicular to each other and its diagonals are of equal length. A rhombus is a quadrilateral in which the opposite sides are parallel and the opposite angles are equal. The sides of a rhombus are not perpendicular to each other and the diagonals of a rhombus are not equal in measure. The following figure helps to identify and differentiate between a square and a rhombus.
Observe the following table that shows the difference between a square and a rhombus.
SQUARE  RHOMBUS 

All the angles of a square are equal and measure 90° each.  Only the opposite angles of a rhombus are equal to each other. 
The diagonals of a square are of equal length.  The diagonals of a rhombus are of unequal length. 
A square can be inscribed in a circle. 
A rhombus cannot be inscribed in a circle. 
A square has four lines of symmetry. 
A rhombus has two lines of symmetry. 
The sides of a square are perpendicular to each other.  The sides of a rhombus are not perpendicular to each other. 
Square and Rhombus Formulas
Once we know the length of the sides and the length of the diagonals of a given square and a rhombus, we can use the following formulas to calculate their area and perimeter.
 The formula used to find the area of a square is: Area of a square = s × s, where 's' is the length of the side of a square.
 The formula used to find the perimeter of a square is: Perimeter = 4 × s, where 's' is the length of the side of a square.
 The formula used to find the area of a rhombus is: Area = \(\dfrac{1}{2}\times d_1\times d_2\), where \(d_1\) and \(d_2\) are the lengths of the diagonals.
 The formula used to find the perimeter of a rhombus is: Perimeter = 4 × s, where 's' is the length of the side of a rhombus.
Similarities between Square and Rhombus
Squares and rhombuses have many differences but they are also similar in many ways. The following table shows the similarities between a square and a rhombus.
SQUARE  RHOMBUS 

A square is a quadrilateral.  A rhombus is also a quadrilateral. 
The diagonals of a square bisect each other at right angles.  The diagonals of a rhombus also bisect each other at right angles. 
The sum of the four interior angles of a square is 360°.  The sum of the four interior angles of a rhombus is 360°. 
The opposite sides of a square are parallel.  The opposite sides of a rhombus are also parallel. 
All the sides of a square are of equal length.  All the sides of a rhombus are also of equal length. 
Related Articles
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Solved Examples

Example 1: Identify if the given parallelogram ABCD is a square or a rhombus if the sides AB, BC, CD, and DA are equal to each other and the interior angles ∠A, ∠B, ∠C, ∠B are all equal to 90°.
Solution: The question mentions that ABCD is a parallelogram.
It is given that the sides AB = BC = CD = DA; and ∠A = 90° , ∠B = 90°, ∠C = 90°, ∠D = 90°
We know the difference between square and rhombus and the fact that all the sides of a square and a rhombus are of equal length. The interior angles of a square are 90°, but the angles of a rhombus are not 90°. Therefore, we can conclude that the given parallelogram is a square. 
Example 2: Using the properties of a square and rhombus, write true or false for the following statements: a.) All the angles of a square are equal and measure 90° each. b.) All the sides of a rhombus are of equal length.
a.) True, all the angles of a square measure 90° each. b.) True, all the sides of a rhombus are of equal length.
Solution:
FAQs on Difference Between Square and Rhombus
What is the Difference Between Square and Rhombus?
The main difference between a square and a rhombus is that all the angles of a square are equal to 90°, and hence are equal in measure, but in the case of a rhombus, only the opposite angles are equal. Apart from this, the diagonals of a square are equal, whereas, the diagonals of a rhombus are not equal in length.
Can a Square be a Rhombus?
Yes, a square comes under the category of a rhombus since it fulfills the properties of a rhombus in which all the sides are equal in length, the diagonals are perpendicular to each other, and the opposite angles are of equal measure.
Can a Rhombus be a Square?
No, a rhombus cannot be a square unless its diagonals are equal and the interior angles are 90° each.
Are Squares and Rhombuses Parallelograms?
Yes, a square and a rhombus satisfy all the properties of a parallelogram. Therefore, both squares and rhombuses are parallelograms whose opposite sides are parallel and equal to each other, and the opposite angles are of equal measure.
What are Some of the Reallife Examples of a Square and a Rhombus?
A few reallife examples of a square are a chessboard, bread slice, and so on. Some reallife examples of a rhombus are, a kite, car windows, and so on.
What is Common Between a Square and a Rhombus?
There are many similarities between a square and a rhombus.
 Both come under the category of quadrilaterals, so the sum of all the interior angles is 360°.
 The diagonals of both the figures bisect each other at right angles.
 The opposites sides are parallel in both the figures.
 All the sides are of equal length in a square and a rhombus.
What is the Difference Between the Diagonals of Square and Rhombus?
The diagonals of a square are equal, whereas, the diagonals of a rhombus are not equal in length.
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