Area of a Kite
Definition: The number of square units it takes to exactly fill a kite
Try this 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:

where
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 rhombus is a particular kind of kite (one where all four sides are congruent) and a square 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 included angle, this formula can be used, but requires a knowledge of trigonometry (see Trigonometry Overview).

where
a,b are the lengths of two unequal sides
C is the angle between them
sin  is the sine function (see Trigonometry Overview)


Related polygon topics

General

Types of polygon

Area of various polygon types

Perimeter of various polygon types

Angles associated with polygons

Named polygons