Rectangular 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 Delete Entry Edge a Edge b Decimal places 0 1 2 3 4 6 8 10  Results Perimeter P Area A Diagonal e Diagonal f Angle α Angle γ incircle radius ri Outer radius rc

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)

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