Parallelogram (Rhomboid) Calculator
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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Formulas for calculating a parallelogram
Area (A)
\(\displaystyle A = b · h_a\) \(\displaystyle =a · h_b\) \(\displaystyle =a · b· sin(α)\)
Length (l)
\(\displaystyle a = \frac{A}{h_b}\) \(\displaystyle = \frac{A}{b · sin(α)}\) \(\displaystyle = \frac{A }{ b · sin(β)}\)
Width (b)
\(\displaystyle b = \frac{A}{h_a}\) \(\displaystyle = \frac{A}{a · sin(α)}\) \(\displaystyle = \frac{A }{ a · sin(β)}\)
Height (ha)
\(\displaystyle h_a = \frac{A}{b}\) \(\displaystyle = sin(α) · a\) \(\displaystyle = sin(β) · a\)
Height (hb)
\(\displaystyle h_b = \frac{A}{a}\) \(\displaystyle = sin(α) ·b\) \(\displaystyle = sin(β) ·b\)
Perimeter (P)
\(\displaystyle P = 2 ·(a + b)\) \(\displaystyle = 2 · \frac{h_a}{sin(α)} + (2 · b)\)
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)
\(\displaystyle α = asin\left(\frac{A}{a · b}\right)\)
Square • Rectangle • Golden Rectangle • Rectangle to Square • Rhombus, given varios parameter • Rhombus , given diagonal e, f • Parallelogram, given 2 sides and angle • Parallelogram area, given side and height • Trapezoid • Cyclic Quadrilateral • General Quadrilateral • Concave Quadrilateral • Arrowhead Quadrilateral • Crossed Square • Frame • Kite, given 2 diagonal and distance • Kite Area, given 2 diagonal • Half Square Kite • Right Kite"
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