Kite Area Calculator
Calculate kite area and perimeter using diagonals or sides and angle
Calculate Kite Area
Length of the first diagonal
Length of the second diagonal
Kite Properties
💡 Enter both diagonal lengths to calculate the kite area.
Example Calculations
Using Diagonals
Given: Diagonal 1 = 12 inches, Diagonal 2 = 22 inches
Formula: Area = (e × f) / 2
Calculation: Area = (12 × 22) / 2 = 264 / 2 = 132 square inches
Using Sides and Angle
Given: Side A = 8 cm, Side B = 10 cm, Angle = 60°
Formula: Area = a × b × sin(α)
Calculation: Area = 8 × 10 × sin(60°) = 80 × 0.866 = 69.28 square cm
Perimeter: 2 × (8 + 10) = 36 cm
Kite Properties
Two Pairs of Equal Sides
Adjacent sides are equal in length
Perpendicular Diagonals
Diagonals intersect at 90° angles
One Axis of Symmetry
One diagonal bisects the other
Key Formulas
Area = (e × f) / 2
Using diagonals e and f
Area = a × b × sin(α)
Using sides a, b and angle α
Perimeter = 2(a + b)
Using side lengths a and b
Understanding Kite Area Calculations
What is a Kite?
A kite is a quadrilateral (four-sided polygon) with two pairs of equal-length sides that are adjacent to each other. Unlike a rhombus where all sides are equal, a kite has two distinct side lengths.
Key Characteristics
- •Two pairs of adjacent equal sides
- •Diagonals are perpendicular
- •One diagonal bisects the other
- •Has one axis of symmetry
Area Calculation Methods
Method 1: Using Diagonals
The most common method uses the lengths of both diagonals. Since they're perpendicular, the area equals half their product.
Method 2: Using Sides and Angle
When you know the lengths of two non-congruent sides and the angle between them, use the trigonometric formula.
Types of Kites
Convex Kites
The traditional kite shape where all interior angles are less than 180°. This is the typical diamond-like shape we associate with kites.
Concave Kites (Darts)
Also called darts or arrowheads, these have one interior angle greater than 180°. The area formula remains the same for both types.
Relationship to Other Quadrilaterals
A kite is a special type of quadrilateral. Here's how it relates to others:
- • Every rhombus is a kite (but not every kite is a rhombus)
- • A square is both a rhombus and a kite
- • A kite becomes a rhombus when all four sides are equal