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Home | Forms | Contact & Privacy Geometric Calculators German: Geometrierechner

2D Regular Polygons:
Equilateral Triangle, Square, Pentagon, Hexagon, Heptagon, Octagon, Nonagon, Decagon, Hendecagon, Dodecagon, N-gon

Other Polygons:
Triangle, Right Triangle, Isosceles Triangle, IR Triangle, Quadrilateral, Rectangle, Rhombus, Parallelogram, Kite, Right Trapezoid, Isosceles Trapezoid, Trapezoid, Cyclic Quadrilateral, Tangential Quadrilateral, Arrowhead, Antiparallelogram, House-Shape, Concave Pentagon, Parallelogon, Threestar, Fourstar, Pentagram, Hexagram, Star of Lakshmi

Round Forms:
Circle, Semicircle, Circular Sector, Circular Segment, Round Corner, Annulus, Annulus Sector, Ellipse, Stadium, Digon, Spherical Triangle, Reuleaux Triangle, Cycloid, Astroid, Hypocycloid, Cardioid, Parabolic Segment, Arbelos, Salinon, Lune, Oval, Three Circles, Lemniscate, Squircle
3D Platonic Solids:
Tetrahedron, Cube, Octahedron, Dodecahedron, Icosahedron

Archimedean Solids:
Truncated Tetrahedron, Cuboctahedron, Truncated Cube, Truncated Octahedron, Rhombicuboctahedron, Icosidodecahedron, Truncated Dodecahedron, Truncated Icosahedron

Catalan Solids:
Triakis Tetrahedron, Rhombic Dodecahedron, Tetrakis Hexahedron, Deltoidal Icositetrahedron, Rhombic Triacontahedron

Johnson Solids:
Pyramids, Cupolae, Rotunda, Elongated Pyramids, Snub Disphenoid

Other Polyhedrons:
Cuboid, Square Pillar, Square Pyramid, Regular Pyramid, Pyramid, Regular Frustum, Frustum, Bipyramid, Ramp, Right Wedge, Wedge, Rhombohedron, Parallelepiped, Prism, Oblique Prism, Antiprism, Trapezohedron, Disphenoid, Corner, General Tetrahedron, Truncated Rhombohedron, Stellated Octahedron, Small Stellated Dodecahedron, Great Stellated Dodecahedron

Round Forms:
Sphere, Hemisphere, Cylinder, Cut Cylinder, Oblique Cylinder, Generalized Cylinder, Cone, Truncated Cone, Oblique Circular Cone, Elliptic Cone, Spheroid, Ellipsoid, Spherical Sector, Spherical Cap, Spherical Segment, Spherical Wedge, Cylindrical Wedge, Cylindrical Sector, Cylindrical Segment, Spherical Shell, Cylindrical Shell, Spherical Ring, Reuleaux-Tetrahedron, Torus, Capsule, Lens, Barrel, Paraboloid, Hyperboloid, Oloid, Steinmetz Solids


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Kite Calculator

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.


Euclid Symmetry diagonal (e): Kite
Other diagonal (f):
Distance AE (c):
First side (a):
Second side (b):
Perimeter (p):
Incircle radius (rI):
Area (A):
First angle (α):
Second angle (β):
Third angle (γ):
Round to    decimal places.



Formulas:
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).

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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.

Kite, perimeter and area
perimeter p, area A
Kite, sides and angles
sides and angles

Kite, diagonals
diagonals
Kite, bisecting lines, incircle
bisecting lines and incircle

Kite, circumcircle
circumcircle



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