[Maths Class Notes] on Area of a Rhombus Formula Pdf for Exam

Maths plays a key role in your higher learning and entrance examinations. Whether it is for your entrance examinations, or your school and board examinations, the knowledge of Mathematics is essential for one to succeed in his or her ambitions. One such topic from the chapter on Area and Perimeter is to calculate the area of a rhombus. 

In Euclidean geometry, A Rhombus is a quadrilateral that has four edges and four corners and all 4 edges are equal in length. All rhombuses are parallelograms, which mean both the adjacent edges are parallel to each other. The interesting point to note here is that a rhombus whose corners are at the right angle is known as a square.

The formula for Calculating the Area and perimeter of a Rhombus

The three ways to calculate the area of ​​a diamond are diagonal, floor and height, and trigonometry. Some important properties of diamond are: 

 All sides are the same length.  The  other side is also parallel to each other. The height is the vertical distance between  two parallel sides.  The two diagonals of a  diamond are halved at 90 degrees.  The formula for the circumference of a diamond is very easy to calculate. That is, the circumference or P = 4 × a. Where “a” is the length of one side of the diamond. Diagonal diamond area: 

 In the diagonal method, the diamond area  can be calculated using the following formula: 

 A = ½ × d1 × d2. 

 Wo, 

 A = Area of ​​diamond. d1 = 

 Diagonal length d1. 

 d2 = 

 Diagonal length d2. 

 If any of these values ​​are available, the area and circumference of the diamond can also be calculated. In other words, given the area, the perimeter can also be calculated. The reverse method is also possible.

How to find the Area of a Rhombus?

Area of a rhombus can be derived in 3 ways:

1. Using diagonals – A = ½ × d1 × d2.

2. Using Base and Height – A = b × h.

3. Using trigonometry – A = b2 × Sin(a).

 Where

• d1 = Length of diagonal 1.

• d2 = Length of diagonal 2.

• b = Length of any side.

• h = Height of rhombus.

• a = Measure of interior angle. 

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