Formula
Area = (d1 × d2) / 2
Enter values to calculate
Rhombus Area
Rhombus Area Calculator
Calculate the area of a rhombus using multiple input methods: diagonals, side and height, or side and angle. The calculator supports various units and provides reverse calculations to find diagonal lengths from known area.
Calculation Methods & Formulas
Method 1: Using Diagonals (d₁, d₂)
Area = (d₁ × d₂) / 2
Method 2: Using Side and Height
Area = side × height
Method 3: Using Side and Angle
Area = side² × sin(α)
Reverse Calculation (from Area to Diagonals)
d₁ = 2A / d₂ d₂ = 2A / d₁
Reverse Calculation Feature
Enter a known area to calculate possible diagonal lengths. If one diagonal is known, the calculator determines the other diagonal. Without a known diagonal, it provides equal diagonal lengths for a square-shaped rhombus.
Supported Units
Linear measurements: mm, cm, m, km, in, ftArea measurements: mm², cm², m², km², in², ft²
Angle measurements: degrees (°), radians
Calculation Examples
Diagonal Method Example 1:
d₁ = 8 cm, d₂ = 6 cmArea = (8 × 6) / 2 = 24 cm²
Diagonal Method Example 2:
d₁ = 12 ft, d₂ = 9 ftArea = (12 × 9) / 2 = 54 ft²
Side-Height Method Example 1:
Side = 5 m, Height = 4 mArea = 5 × 4 = 20 m²
Side-Height Method Example 2:
Side = 15 in, Height = 12 inArea = 15 × 12 = 180 in²
Side-Angle Method Example 1:
Side = 7 cm, Angle = 60°Area = 7² × sin(60°) = 49 × 0.866 = 42.43 cm²
Side-Angle Method Example 2:
Side = 10 mm, Angle = 45°Area = 10² × sin(45°) = 100 × 0.707 = 70.71 mm²
Reverse Calculation Example 1:
Area = 36 m², Known d₁ = 9 md₂ = (2 × 36) / 9 = 8 m
Reverse Calculation Example 2:
Area = 50 cm²Equal diagonals = √(2 × 50) = 10 cm each
Mixed Units Example:
d₁ = 2.5 km, d₂ = 1800 mArea = (2500 × 1800) / 2 = 2,250,000 m²
Angle in Radians Example:
Side = 6 ft, Angle = π/3 radiansArea = 6² × sin(π/3) = 36 × 0.866 = 31.18 ft²