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 in degrees, here you can convert angle units.
a = √ (f/2)² + c²
b = √ (f/2)² + (e-c)²
p = 2 * ( a + b )
A = ef / 2
rI = 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).
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.