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Rhombus Calculator

Area and perimeter of a rhombus

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.

  1. 1Area (diagonals): A = (d₁ × d₂) / 2
  2. 2Area (side and angle): A = s² × sin(θ)
  3. 3Perimeter = 4s (all sides equal)
  4. 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
PropertyFormula
Area (diagonals)(d₁ × d₂) / 2
Area (side + angle)s² × sin(θ)
Perimeter4s
Diagonal relationshipd₁² + d₂² = (2s)²
Interior anglesOpposite angles equal; adjacent supplementary
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