Online calculator and formulas for calculating a parallelogram (rhomboid)
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.
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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
\(\displaystyle b = \frac{A}{h_a}\)
\(\displaystyle b = \frac{A}{a · sin(α)}\)
\(\displaystyle b = \frac{A }{ a · sin(β)}\)
\(\displaystyle h_a = \frac{A}{b}\)
\(\displaystyle h_a = sin(α) · a\)
\(\displaystyle h_a = sin(β) · a\)
\(\displaystyle h_b = \frac{A}{a}\)
\(\displaystyle h_b= sin(α) ·b\)
\(\displaystyle h_b = sin(β) ·b\)
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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