Kite Area Calculator
A kite is a quadrilateral with two pairs of equal adjacent sides and diagonals that meet at right angles. Because the diagonals are perpendicular, the area is exactly half the product of the two diagonals, the same formula that works for a rhombus. Enter the two diagonals to get the area, and the two distinct side lengths to get the perimeter as twice their sum. Every result here is an exact geometric definition; just keep your length units consistent and the area will be in those units squared.
Kite formulas
Area = (diagonal 1 x diagonal 2) / 2
Perimeter = 2 x (side a + side b)
Product of diagonals = diagonal 1 x diagonal 2
Sum of distinct sides = side a + side b
The diagonals of a kite are perpendicular, so they divide it into four right triangles whose total area is half the product of the diagonals. The two pairs of equal sides give the perimeter directly.
Kite geometry context
- A kite has two pairs of equal adjacent sides.
- The diagonals of a kite intersect at right angles.
- One diagonal bisects the other, the axis of symmetry.
- Every rhombus is a kite, but not every kite is a rhombus.
- Use one length unit; area is reported in that unit squared.
Kite area: frequently asked questions
How do you find the area of a kite?
The area of a kite is half the product of its two diagonals: A = (d1 x d2) / 2. The diagonals of a kite cross at right angles, which is why the same formula used for a rhombus applies. For diagonals of 8 and 6 units the area is 8 x 6 / 2 = 24 square units.
How do you find the perimeter of a kite?
A kite has two pairs of equal adjacent sides. Its perimeter is twice the sum of one side from each pair: P = 2 x (a + b). This calculator returns the perimeter when you enter the two distinct side lengths.
Why does the diagonal area formula work for a kite?
Because the diagonals of a kite are perpendicular, they split the kite into four right triangles. Summing those triangles gives an area of exactly half the product of the two diagonals. This holds for any kite and for the special case of a rhombus.
What is the difference between a kite and a rhombus?
A kite has two pairs of equal adjacent sides, while a rhombus has all four sides equal. Every rhombus is a kite, but not every kite is a rhombus. The area formula from the diagonals is the same for both because both have perpendicular diagonals.
What units does the result use?
Use the same length unit for both diagonals and both sides. The area is then in that unit squared (for example, square centimeters if the diagonals are in centimeters), and the perimeter is in the same length unit as the inputs.
Official sources
- U.S. National Institute of Standards and Technology: Digital Library of Mathematical Functions.
- NASA: Geometry and area reference.
Reviewed by the CalculatorHub team, edited by James Graham, 16 June 2026. See our methodology.