Case 1
- First diagonal (p)
- 6
- Second diagonal (q)
- 8
24.0000
Open with these valuesKite Area Calculator
24.0000units²
Result: 24.0000 units²A kite's two diagonals cross at a right angle, and that single fact fixes the area at half their product: ½ × p × q. Diagonals of 6 and 8 give 24 square units. The side lengths are never needed, and a rhombus or a square follows exactly the same rule.
The numbers at a glance
Held fixed: First diagonal (p) 6.000.
| Second diagonal (q) | Result |
|---|---|
| 2.000 | 6.0000 |
| 4.000 | 12.0000 |
| 6.000 | 18.0000 |
| 8.000Your value | 24.0000 |
| 10.000 | 30.0000 |
| 12.000 | 36.0000 |
| 14.000 | 42.0000 |
| 16.000 | 48.0000 |
Worked examples
Case 2
- First diagonal (p)
- 10
- Second diagonal (q)
- 4
20.0000
Open with these valuesCase 3
- First diagonal (p)
- 2.5
- Second diagonal (q)
- 3.2
4.0000
Open with these valuesHow it's calculated
A = ½ × p × q
- StepMeasure the first diagonal — the line joining two opposite corners.
- StepMeasure the other diagonal, in the same length unit.
- ResultRead the area in square units: half the product of the two.
Reference table
| Diagonals p, q | Exact | Area |
|---|---|---|
| 1, 1 | 1 ÷ 2 | 0.5000 |
| 2.5, 3.2 | 8 ÷ 2 | 4.0000 |
| 5, 12 | 60 ÷ 2 | 30.0000 |
| 6, 8 | 48 ÷ 2 | 24.0000 |
| 7, 7 | 49 ÷ 2 | 24.5000 |
| 10, 4 | 40 ÷ 2 | 20.0000 |
Questions
How do I calculate the area of a kite?
Multiply the two diagonals and take half: area = ½ × p × q. Diagonals of 6 and 8 give ½ × 6 × 8 = 24 square units. You only need the diagonals, not the side lengths.
What is a kite in geometry?
A kite is a four-sided shape with two pairs of equal-length adjacent sides — the outline of a flying kite. Its two diagonals always cross at a right angle, and that is what makes the area half their product.
Why is the area half the product of the diagonals?
Because the diagonals are perpendicular. Any quadrilateral whose diagonals cross at a right angle fits inside a rectangle with those diagonals as sides and fills exactly half of it. The diagonals cut it into four right triangles whose areas add back up to that half.
Why does a kite use the same formula as a rhombus?
Both have diagonals that cross at a right angle, so both use ½ × p × q. A rhombus is a special kite with all four sides equal, and a square is a special rhombus — the same rule covers all three.
What units does the result use?
Whichever you entered, squared. Both diagonals must use the same unit: centimetres in, square centimetres out.
Sources and last check
Information, not professional advice.