Kite Area Calculator
Find the area and perimeter of a kite-shaped quadrilateral. Enter the two diagonals — the axis diagonal (p) and the cross diagonal (q) — and get the area instantly.
units
units
Area = (diagonal₁ × diagonal₂) ÷ 2
- 1
Product of diagonals
p × q = 8 × 6 = 48 - 2
Area
(p × q) ÷ 2 = 48 ÷ 2 = 24Perpendicular diagonals create four right triangles whose total area equals half the diagonal product.
How does this calculator work?
The area of a kite with diagonals p and q is A = (p × q) / 2, because the perpendicular diagonals create four right triangles. For a symmetric kite each side = √((p/2)² + (q/2)²) and perimeter = 4 × side. Example: p = 8, q = 6 → Area = 24 sq units.
Formula
How this is calculated
A kite is a quadrilateral with two pairs of consecutive equal sides. Its key property is that its diagonals are perpendicular: one diagonal (the axis, p) bisects the other (the cross diagonal, q), creating four right triangles inside the figure. The area of a kite equals half the product of its diagonals: A = (p × q) / 2. This result follows from the fact that each of the four right triangles has legs of length p/2 and q/2 (or portions thereof), and their combined area equals half of p × q.
For a symmetric kite where the axis diagonal splits equally (a rhombus special case), all four triangles are congruent and each pair of equal sides has length √((p/2)² + (q/2)²). The perimeter is then 4 × that side length. For a general kite, the axis diagonal is divided by the cross diagonal in some ratio other than 1:1, producing two different side lengths; this calculator reports the symmetric case as the default.
The formula A = (p × q) / 2 is exact for any kite — no trigonometry is required — because the perpendicular diagonals always produce the same area relationship regardless of where the axis diagonal is split.
Frequently asked questions
Area = (p × q) / 2, where p and q are the lengths of the two diagonals. This works because the perpendicular diagonals divide the kite into four right triangles whose total area equals half the product of the diagonals.
A rhombus is a special kite where all four sides are equal and both diagonals bisect each other at right angles. A general kite only has one axis of symmetry: one diagonal bisects the other (but not vice versa), and the two pairs of equal sides have different lengths.
Yes, for a symmetric kite where the axis diagonal is bisected equally. The side length is √((p/2)² + (q/2)²) and the perimeter is 4 times that. For a general kite you also need to know how the axis diagonal is split by the cross diagonal.
Also known as
TG we-Calculate Editorial Team. (2026). Kite Area Calculator [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/kite-area-calculator
TG we-Calculate Editorial Team. "Kite Area Calculator." TG we-Calculate. 2026. https://we-calculate.com/calculator/kite-area-calculator.
TG we-Calculate Editorial Team, "Kite Area Calculator," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/kite-area-calculator
@misc{wecalculate_kite_area_calculator, title = {Kite Area Calculator}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/kite-area-calculator}}, year = {2026}, note = {TG we-Calculate} }
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