Kite Area Calculator

Enter the diagonals or the two unequal sides and included angle of a kite to calculate its area and perimeter. Choose your method — diagonal method (d1 × d2 ÷ 2) or trigonometric method (a × b × sin α) — and get the kite area along with the full perimeter breakdown.

units

Length of the first (major) diagonal

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Length of the second (minor) diagonal

units

Length of one pair of equal sides

units

Length of the other pair of equal sides

°

Angle between the two unequal sides

Results

Kite Area

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Perimeter

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Formula Used

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Kite Dimensions Proportion

Frequently Asked Questions

What is the formula to find the area of a kite?

There are two main formulas. If you know the diagonals: Area = (e × f) / 2, where e and f are the lengths of the two diagonals. If you know two unequal sides and the included angle: Area = a × b × sin(α). Both methods give the same result when all values are consistent.

How do I find the area of a kite using diagonals?

Multiply the lengths of the two diagonals together, then divide by 2. For example, if the diagonals measure 8 and 5 units, the area = (8 × 5) / 2 = 20 square units. This works because a kite's diagonals are always perpendicular to each other.

How do I find the perimeter of a kite?

A kite has two pairs of equal-length adjacent sides. The perimeter is simply 2 × (a + b), where a and b are the two unequal side lengths. Note that if you only know the diagonals, you cannot determine the perimeter without additional information.

What is a kite in geometry?

A kite is a quadrilateral (four-sided polygon) that has two pairs of consecutive sides of equal length. Its diagonals are perpendicular, and one diagonal bisects the other. Common examples include the traditional diamond-shaped flying kite and certain gem facets.

Is a kite a rhombus?

Not necessarily. A rhombus is a special case of a kite where all four sides are equal in length. So every rhombus is a kite, but not every kite is a rhombus. Similarly, a square is a special rhombus, making it also a special kite.

What is the area of a kite with diagonals of 5.3 ft and 6 ft?

Using the diagonal formula: Area = (5.3 × 6) / 2 = 31.8 / 2 = 15.9 square feet.

What is the difference between a convex and a concave kite?

A convex kite (the standard kite) has all interior angles less than 180°. A concave kite, also called a dart or arrowhead, has one interior angle greater than 180°, giving it an indented or arrow-like shape. The same area formula applies to both types.

Can I calculate kite area if I only know the sides but not the angle?

No — with sides alone, the shape is not uniquely determined. You need either both diagonals, or two unequal side lengths plus the included angle between them, to calculate the area. If you only have sides, measure or estimate the angle to proceed.

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