Drag the orange dots on each vertex
to reshape the kite. The area is continuously recalculated.
Two methods for calculating the area of a kite are shown below. Choose a formula or method based on the values you know to begin with.
1. The "diagonals" method
If you know the lengths of the two diagonals, the area is half the product of the diagonals.
This is the method used in the figure above. As a formula:
d1 is the length of a diagonal
d2 is the length of the other diagonal
This also works for finding the
area of a rhombus, and the
area of a square since a
is a particular kind of kite (one where all four sides are congruent) and a
is a particular kind of rhombus (where all angles are 90°).
2. Using trigonometry
If you know the length of two unequal sides and their
this formula can be used, but requires a knowledge of trigonometry (see Trigonometry Overview
a,b are the lengths of two unequal sides
C is the angle between them
sin is the sine function (see Trigonometry Overview)
Other polygon topics
Types of polygon
Area of various polygon types
Perimeter of various polygon types
Angles associated with polygons
(C) 2009 Copyright Math Open Reference. All rights reserved