Rhombus Area & Perimeter Calculator, Formulas & Solved Example



Rhombus Area & Perimeter Calculator

Calculating Rhombus Area Using Trigonometry
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Calculating Rhombus Area using Diagonal Method
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rhombus calculator - step by step calculation, formulas & solved example problem to find the area & perimeter for the given length & angle values or diagonal lengths D1 & D2 in different measurement units between inches (in), feet (ft), meters (m), centimeters (cm) & millimeters (mm). In geometry, rhombus is a flat shape with four equal sides and four angles which are not 90-degrees. The formulas, solved example & step by step calculations may useful for users to understand how the input values are being used in such rhombus area & perimeter calculations. Also this featured rhombus calculator uses the various conversion functions to find its volume in SI or metric or US customary units.

Rhombus & its Formula

The following mathematical formula is used in this rhombus calculator to find the volume & perimeter for the given input value of length A & angle in degrees or diagonal lengths D1 & D2.

formula to find rhombus area & perimeter

Solved Example

The below solved example problem may be useful to understand how the values are being used in the mathematical formulas to find the rhombus area & perimeter.

Example Problem 1:
By using Trignometry formula, find the area & perimeter of a rhombus having the length value of 7 cm and angle 35.?

Solution :
The given values
length A = 7 cm

Step by step calculation
formula to find the area (Trigonometry) = A2 x sin(θ)
substitute the values
= 72 x sin(35.)
= 28.11 cm2

formula to find the perimeter = 4A
substitute the values
= 4 x 7
= 28 cm2

Example Problem 2:
By using diagonal method, find the area of a rhombus having diagonals D1 & D2 value of 15 cm & 18 cm respectively?

Solution :
The given values
diagonal D1 = 18 cm
diagonal D2 = 12 cm

Step by step calculation
formula to find the area (Diagonal Method) = (D1 x D2)/2
substitute the values
= (15 x 18)/2
= 135 cm2

The volume & perimeter of a rhombus may required to be calculated in SI or metric or US customary unit systems, therefore this rhombus calculator is featured with major measurement units conversion function to find the output values in different customary units such as inches (in), feet (ft), meters (m), centimeters (cm) & millimeters (mm) by using this below conversion table.

10 mm = 1 cm
100 mm = 3.93 in
1000 mm = 3.28 ft
1000 mm = 1 m
1 cm = 10 mm
10 cm = 3.93 in
100 cm = 3.28 ft
100 cm = 1 m
1 ft = 3048 mm
1 ft = 304.8 cm
1 ft = 12 in
10 ft = 3.048 m
1 in = 25.4 mm
1 in = 2.54 cm
100 in = 8.33 ft
100 in = 2.54 m

In the field of area & volume calculations, finding the volume & perimeter of a rhombus is important to understand basic mathematical computations. The above formulas, step by step calculation & solved example may helpful for users to understand the how to calculate rhombus's volume & perimeter manually, however, when it comes to online to perform quick calculations, this rhombus calculator may be useful to find the results.



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