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Rhombus Calculator
Choose the method by which you want to calculate the area or perimeter of the rhombus in this calculator. After that enter the required values and hit calculate.
Table of Contents:
Rhombus Calculator
This area of rhombus calculator can find the area of rhombus through three different methods:
- Base times height method
- Diagonal method
- Trigonometry method
You can find the perimeter of the rhombus also by entering the value of length.
What is a rhombus?
A Rhombus is a quadrilateral with four equal sides and opposite equal acute and obtuse angles. A rhombus is also a parallelogram with equal sides.
It's like a lean square whose diagonals bisect each other but need not be 90 degrees. Rhombus is also sometimes called a 'diamond' or 'lozenge' shape.
All four sides of Rhombus are congruent. Its diagonals are perpendicular and bisect vertex angles.
The formula of the area of the rhombus:
The area of a rhombus can be calculated through three different formulas. All of these formulas use different values to find the area.
Base Times Height Method :
Area of Rhombus = b * h
Diagonal Method :
Area of Rhombus = ½ x d1 x d2
Trigonometry Method :
Area of Rhombus = a² * SinA
Perimeter of Rhombus = 4(a)
Where,
a = side
b = height, d1 and d2 diagonals
How to calculate the area of rhombus?
Examples:
Case 1: Find the area of a rhombus with the given base 4 and height 5 using the Base Times Height Method.
Solution: Find the area.
Area = b * h = 4*5 = 20.
Case 2: Find the area of a rhombus with the given diagonals 4,5 using the Diagonal Method.
Solution: Find the area.
Area = ½ * d1 * d2 = 0.5 * 4*5 = 20*0.5 = 10
Case 3: Find the area of a rhombus with the given side 3 using Trigonometry Method.
Solution: Find the area.
Area = a² * SinA = 3² * Sin(33) = 9* 1 = 9.
Case 4: Find the perimeter of a rhombus with the given side 3.
Solution: Find the perimeter.
Perimeter = 4(a) = 4 * 3 = 12.
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