Half square kite calculator and formula

Calculator and formulas for calculating the properties of a half square kite

Calculation of a half square Kite


This calculator calculates area, perimeter, angle and more properties of a half-square kite. The half square kite has a right angle at one of the non-symmetrical corners.

Enter the lengths of sides a and b. Then click on the 'Calculate' button.


Half Square Kite calculator

 Input
Side length a
Side length b
Decimal places
 Results
Perimeter P
Area A
Diagonal e
Section e1
Section e2
Diagonal f
Angle β
Angle γ
Inner radius ri
Half-Square-Deltoid

Half Square Kite formulas


Side length a

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

\(\displaystyle = \sqrt{ (2· A)- (e_2 · f)}\)

Side length b

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

Area

\(\displaystyle A= \frac{a^2+(e2 · f)} {2}\)

Perimeter

\(\displaystyle U=2 · (a+b)\)


Diagonal e

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

Section e1

\(\displaystyle e_1 = \frac{a}{\sqrt{2}}e\)

Section e2

\(\displaystyle e_2 = e-e_1\)


Diagonal f

\(\displaystyle f= \sqrt{2} · a\)


Angle γ

\(\displaystyle γ = arccos \left(\frac{2 · b^2 - f^2}{2 · b^2}\right)\)

Angle β

\(\displaystyle β = \frac{270 - γ}{ 2 } \)

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