Rhombus Calculator
A = (p×q)/2 | Side = √((p/2)²+(q/2)²) | All sides equal
A rhombus calculator computes area and perimeter from the diagonals or side length and angle. A rhombus is a parallelogram with all four sides equal.
- 1Area (diagonals): A = (d₁ × d₂) / 2
- 2Area (side and angle): A = s² × sin(θ)
- 3Perimeter = 4s (all sides equal)
- 4Diagonals bisect each other at right angles
Rhombus diagonals: 10 cm and 8 cm=Area = (10 × 8) / 2 = 40 cm²; Side = √(5²+4²) = √41 ≈ 6.40 cm; P = 25.6 cm
| Property | Formula |
|---|---|
| Area (diagonals) | (d₁ × d₂) / 2 |
| Area (side + angle) | s² × sin(θ) |
| Perimeter | 4s |
| Diagonal relationship | d₁² + d₂² = (2s)² |
| Interior angles | Opposite angles equal; adjacent supplementary |
References
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