Crossed Square
Calculator and formulas to calculate a crossed square
This function calculates various parameters of a crossed quadrilateral.
In a crossed square, two sidelines cross.
To calculate, enter the lengths of base a and length b. Then click on the 'Calculate' button.
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Formulas for the crossed quadrilateral
Side length (c)
\(\displaystyle a =\frac{\sqrt{a^2+b^2}}{2} \)
Perimeter (P)
\(\displaystyle P=2a+4c\)
Area (A)
\(\displaystyle A=\frac{a·b}{2} \)
Angle (γ)
\(\displaystyle γ= acos\left(\frac{2c^2-a^2}{2c^2}\right) \)
Angle (β)
\(\displaystyle β= 180°-γ \)
Angle (α)
\(\displaystyle α=\frac{β}{2}\)
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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