Rectangular Kite

Calculator and formula for calculating the properties of a right Kite


This calculator calculates a right kite. The right kite (or right-angled deltoid) has two opposite right angles between the short and long sides.

To calculate, enter the lengths of sides a and b. Then click on the 'Calculate' button.


Right kite calculator

 Input
Edge a
Edge b
Decimal places
 Results
Perimeter P
Area A
Diagonal e
Diagonal f
Angle α
Angle γ
incircle radius ri
Outer radius rc
Drachenviereck-rechtwinkelig

Description


A kite is a quadrilateral that has two pairs of adjacent sides of equal length. The rectangular deltoid has two opposing right angles between the short and long sides. It also has the following properties:

  • The diagonals e and f are perpendicular to each other.
  • The diagonal e (from A to C) is the axis of symmetry.
  • The diagonal f (from B to D) divides the kite into two isosceles triangles.
  • The opposite angles in the corner points B and D are the same size.

Formulas


Area (A)

\(\displaystyle A=a ·b\)


Perimeter (P)

\(\displaystyle P=2 · (a+b)\)

Diagonal (e)

\(\displaystyle e=\sqrt{a^2+b^2}\)


Diagonal (f)

\(\displaystyle f=\frac{2·a·b}{e}\)


Angle (α)

\(\displaystyle α= \frac{2·arccos(a^2+e^2-b^2)}{2·a·e}\)

Angle (γ)

\(\displaystyle γ=180°-α\)

Incircle radius (ri)

\(\displaystyle ri=\frac{a·b}{a+b}\)

Circumcircle radius (rc)

\(\displaystyle rc=\frac{e}{2}\)
Drachenviereck-rechtwinkelig


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