Kite Area Calculator
Compute the area and perimeter of a kite from its two diagonals and its two distinct side lengths.
How it works
Area = (d₁ · d₂) / 2 · Perimeter = 2(a + b), where a and b are the two pairs of adjacent equal sides
A kite has two pairs of adjacent equal sides, and its diagonals meet at right angles. Because of that perpendicular crossing, the area is half the product of the diagonals — the same formula as a rhombus, which is just a special kite with all sides equal. The perimeter needs the two distinct side lengths, since a kite has two of each: 2(a + b).
Worked example
For diagonals of 6 and 8 with sides 4 and 6: area = (6 · 8) / 2 = 24 units²; perimeter = 2(4 + 6) = 20 units.
Sources: Kite — Wolfram MathWorld
Frequently asked questions
Why is the kite area formula the same as the rhombus one?
Both shapes have perpendicular diagonals, and any quadrilateral with perpendicular diagonals has area = (d₁ · d₂) / 2. A rhombus is simply a kite whose four sides are all equal.
Do I need the side lengths to get the area?
No — the area depends only on the two diagonals. The side lengths are needed only for the perimeter, so leave them at zero if you just want the area.
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This calculator is for educational purposes. Double-check important results before acting on them.