Kite Area and Perimeter Calculator
Calculator calculates the area of a kite with both methods (Trigonometry and Diagonal) and also calculate the perimeter of the kite.
Formula
Perimeter of Kite:
[ 2(a+b) ]
Area of Kite Using Trigonometry:
[ ab Sin C ]
Area of Kite [Diagonal Method]:
[ ½×d1d2 ]
The kite is a quadrilateral with two pairs of equal-length sides, adjacent to each other.
Kite is a symmetric shape and its diagonals are perpendicular.
There is two basic kite area formulas can be used depending on the information availble:
Trigonometry method:
Area of the kite = product of both side length sin (angle between them) = ab sin C, Where a and b are the lengths of two unequal sides, C is the angle
Diagonal method:
Area of the kite = The area is half the product of the diagonals = (d1d2)/2 where d1,d2 are the length of diagonal.
Perimeter:
add the length of each side = 2a+2b Where a and b are the lengths each sides.
Important properties of the kites
Two pairs of adjacent sides are equal (AD = BD and AC = BC).
One pair of opposite angles are equal (∠OBC = ∠OBD)
The sum of the interior angles of a kite is equal to 360°.
The diagonals of a kite are perpendicular to each other.
The longer diagonal of the kite bisects the shorter diagonal.
The area of a kite is equal to half of the product of the length of its diagonals.
The perimeter of a kite is equal to the sum of the length of all of its sides.
