Parallelogram (Rhomboid) Calculator

Online calculator and formulas for calculating a parallelogram (rhomboid)

Calculate parameters of a parallelogram


This function calculates the properties of a parallelogram for a given side a and b and the angle α in degrees or radians. To calculate the parallelogram, enter the known parameters, select the angle unit degrees or radians. Then click the 'Calculate' button.


Parallelogram calculator

 Select the angle measure
Angle unit  
 Input
Side a
Side b
Angle α
Decimal places
 Results
Area A
Perimeter P
Height ha
Height hb
Diagonal e
Diagonal f
Angle β

Formulas for calculating a parallelogram


Area

\(A = b · h_a\)

\(A=a · h_b\)

\(A=a · b· sin(α)\)


Length

\(\displaystyle a = \frac{A}{h_b}\)

\(\displaystyle a = \frac{A}{b · sin(α)}\)

\(\displaystyle a = \frac{A }{ b · sin(β)}\)


Width

\(\displaystyle b = \frac{A}{h_a}\)

\(\displaystyle b = \frac{A}{a · sin(α)}\)

\(\displaystyle b = \frac{A }{ a · sin(β)}\)


Height \(h_a \)

\(\displaystyle h_a = \frac{A}{b}\)

\(\displaystyle h_a = sin(α) · a\)

\(\displaystyle h_a = sin(β) · a\)


Height \(h_b \)

\(\displaystyle h_b = \frac{A}{a}\)

\(\displaystyle h_b= sin(α) ·b\)

\(\displaystyle h_b = sin(β) ·b\)


Perimeter

\(\displaystyle P = 2 ·(a + b)\)

\(\displaystyle P = 2 · \frac{h_a}{sin(α)} + (2 · b)\)


Diagonal \(e \)

\(\displaystyle e = \sqrt{a^2 + b^2 - 2 · a · b · cos(β)}\)


Diagonal \(f \)

\(\displaystyle f = \sqrt{a^2 + b^2; - 2 · a · b · cos(α)}\)


Angle \(α \)

\(\displaystyle α = asin\left(\frac{A}{a · b}\right)\)

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