The Formula For A Rhombus


The Formula For A Rhombus – Ex 11.2, 6 Find the area of ​​a rhombus with side 6 cm and height 4 cm. If the length of one of its diagonals is 8 cm, find the length of the other diagonal. Since rhombus has side = 5 cm and height = 4.8 cm, rhombus is also a parallelogram ∴ area of ​​rhombus = Area of ​​parallelogram = base × height of base = side = 5 cm and height = height = 4.8 cm ∴ Area of ​​rhombus = Net × Height = 5 × 4.8 = 5 × 48/10 = 48 × 1/2 = 24 cm2 ∴ Area of ​​rhombus = 24 cm2 Finding length of diagonal: Given, length of one diagonal = d1 = 8 cm Diagonal length of other diagonal = d2 Now, area of ​​rhombus = 1/2×𝑑1×𝑑2 Substituting values ​​24 = 1/2×8×𝑑2 24 = 4×𝑑2 24/4 = 𝑑2 6 = 𝑑2 𝑑2 other diagonal = 6 6 cm

Davneet Singh received his BA from the Indian Institute of Technology, Kanpur. He has been teaching since the last 12 years. It offers courses in mathematics, natural sciences, social sciences, physics, chemistry, and computer science.

The Formula For A Rhombus

The Formula For A Rhombus

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If The Side Of A Rhombus Is 10 Cm And One Diagonal Is 16 Cm, Then Area Of The Rhombus Is 96 Cm^(2)

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There are three formulas for finding the area of ​​a rhombus. If you want to know how to do this, follow these steps.

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A rhombus is a shape with four equal sides, each parallel to the other. Although a square is a rhombus, it can be diamond-shaped, with angles greater or less than 90° at each angle. There are several simple ways to find the area of ​​a diamond-shaped rhombus. One is to measure the rhombus diagonally from corner to corner. For example, let’s say your rhombus has a diameter of 10 cm and a diameter of 6 cm. After finding the length of each diagonal, multiply the lengths together. In this case, 10 cm x 6 cm = 60 cm. Finally, divide the result by 2. Remember to square the units when recording the result, since you are measuring an area. 60/2 = 30, so the area of ​​our rhombus is 30 square cm. Another simple method is to multiply the length of the base of the rhombus by its height. Measure the width of the bottom line of the rhombus, then take a perpendicular measurement from the base to another line at the top. Multiply the measurements together to find the area. For example, if the length of a rhombus is 12 cm, and the height is 8 cm, then the area of ​​the rhombus is 96 cm square. If you know the length of one side and one angle of a rhombus, you can find the area using trigonometry. To do this, you need to square the length of the known side and multiply the result by the sine of one angle. For example, if one side of a rhombus is 6 cm long and you know that it has an angle of 45°, the area is 36 cm squared x sin(45°), or about 30.63 cm squared. If you want to learn how to use trigonometry to find the area of ​​a rhombus, keep reading!2 Introduction A parallelogram is a rhombus if all sides are equal. Note: In a rhombus 1. All sides are equal 2. Opposite sides are parallel 3. The diagonal divides the rhombus into pairs of triangles with equal areas. 4. The diagonal is divided into two by a right angle.

Program To Calculate Area Of A Parallelogram

Area of ​​rhombus base and length The base of the rhombus is b units, and the corresponding height is h units. Since a rhombus is a parallelogram, the same formula can be used to find the area of ​​a rhombus. Area of ​​rhombus = b × h square. units Area of ​​a rhombus by its diagonals Area of ​​a rhombus = x (product of diagonals) square unit Area of ​​a rhombus = x d1 x d2 unit square.

First example: Find the area of ​​a rhombus whose side is 24 cm and whose height (length) is 14 cm. Given the base and height, the area of ​​the rhombus = b x h Solution: Given: Net = 24cm, Height = 14cm; Finding: Area Rhombus is also a parallelogram, Area of ​​rhombus = b x h square unit = 24 x 14 = 336 cm2 Area of ​​rhombus = 336 cm2

Example 2: Find the area of ​​a rhombus whose diagonals are 12 cm and 20 cm. Solution: Given: d1 = 12 cm, d2 = 20 cm; Finding: Given diagonals of area d1 and d2 Area of ​​rhombus = d1 x d2 Area of ​​rhombus = x d1 x d2 square unit = x 12 x 20 = 12 x 10 = 120 cm2 10 Area of ​​rhombus = 120 cm2

The Formula For A Rhombus

Example 3: Find the area of ​​a rhombus whose diagonals are 18 cm and 24 cm. Solution: Given: d1 = 18 cm, d2 = 24 cm; Finding: Area of ​​rhombus given diagonals d1 and d2 Area of ​​rhombus = d1 x d2 Area of ​​rhombus = x d1 x d2 square unit = x 18 x 24 = 18 x 12= 216 cm2 12 Area of ​​rhombus = 216 cm2

Area Rhombus Formula Maths Stock Vector (royalty Free) 2002095269

7 Try these Find the area of ​​a rhombus with base 10cm and height 7cm Find the area of ​​a rhombus with diagonals 8cm and 16cm.

In order for this website to function, we register user data and share it with processors. In order to use this website, you must agree to our Privacy Policy, including our Cookie Policy. The rhombus is an aircraft number, so it is double sided. It is one of many quadrilaterals (four-sided shapes), a closed figure with straight (straight) sides. This is a special case of a parallelogram. Four sides are equal in length, and two pairs of opposite sides are equal. Opposite angles are also equal. That’s all!

A rhombus can also be called a rhombus, a lozenge, or a diamond. A square is a rhombus with four equal (right) angles.

Sometimes a bus hits you and you see a rhombus with two horizontal sides, like a tilted square (this is a useful word to remember its name: run, bus; rhombus). In this presentation, the height (height) of the rhombus can be seen very easily.

What Is The Formula Of Area Of A Rhombus? |physics Wallah

Sometimes a rhombus is drawn so that one of its two diagonals (the lines connecting opposite vertices) is horizontal, making the diamond shape visible.

A special feature of a rhombus is that its diagonals are always perpendicular to each other, regardless of the four corners of the rhombus vertices.

These diagonals also bisect, that is, they divide the rhombus into right triangles. The squares of the lengths of two diagonals are always four times the square of the sides.

The Formula For A Rhombus

For such a simple shape, a rhombus has many parts and dimensions. Knowing how to use these measurements can help you find the area, perimeter, and other facts of a rhombus.

Program To Calculate Area Of A Rhombus Whose One Side And Diagonal Are Given

There are three different formulas for finding the area of ​​a rhombus. Some use height and side, some use side and angle, some use diagonals. Three formulas for finding area depend on your knowledge of rhombuses.

. Connecting one side with a line perpendicular to the other gives the height or height. In our rhombus:

, if you know one angle, you can find all angles. Since the opposite sides are parallel, the adjacent angles of the rhombus are added to it

If you have a mental image of a rhombus as a diagonal square, this first method makes the most sense.

Properties Of Quadrilaterals

If a rhombus were a square, its area per square unit would be in the x direction, right? However, when a rhombus is skewed, you can imagine cutting off a triangular piece from one side of the rhombus and sliding it to the opposite side, bringing the shape back to squareness.

You can’t cut any rhombus, so consider what one side of the rhombus is: the height or height of the rhombus.

So, the first and easiest way to find the area of ​​a rhombus

The Formula For A Rhombus

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