Calculations in a kite (deltoid). A kite is a tetragon with two neighboring pairs of sides with equal length, respectively a tetragon whose one diagonal is also a symmetry axis. Enter the lengths of both diagonals and the distance of the points A and E. Choose the number of decimal places and click Calculate. Angles are calculated and displayed in degrees, here you can convert angle units.

Formulas:
a = √ (f/2)² + c²
b = √ (f/2)² + (e-c)²
p = 2 * ( a + b )
A = ef / 2
r_{I} = 2A / p
α = arccos( (c²+a²-(f/2)²) / ( 2*c*a ) )
γ = arccos( ((e-c)²+b²-(f/2)²) / ( 2*(e-c)*b ) )
β = ( 360° - α - γ) / 2

Lengths, diagonals, perimeter and incircle radius have the same unit (e.g. meter), the area has this unit squared (e.g. square meter).

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The kite is axially symmetric to the symmetry diagonal. When the half kite has a right angle opposite to the dividing symmetry axis, only then it has an circumcircle. Its center is in the middle of the symmetry axis.