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.
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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)
\(\displaystyle rc=\frac{e}{2}\)

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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