Parallelogram area calculator
Compute parallelogram area, perimeter, and conversions using base-height, sides-angle, or diagonals-angle data.
Parallelogram area
Compute area, perimeter, and conversions from base-height, sides plus angle, or diagonals plus angle.
Input data
Results
Area conversions
Formulas used
- Area from base and height: A = b · h
- Area from sides and angle: A = a · b · sin(θ)
- Area from diagonals and angle: A = (d₁ · d₂ · sin(θ)) / 2
- Diagonals from sides: d₁ = √(a² + b² + 2ab cos θ), d₂ = √(a² + b² − 2ab cos θ)
- Perimeter: P = 2(a + b)
How do I get the area from base and height?
Enter the base and its perpendicular height; the calculator applies A = b · h, shows the main area in your chosen unit, and adds the most common conversions.
Can I calculate area with only the sides and an angle?
Yes. If you know adjacent sides a and b and the interior angle θ, the tool uses A = a · b · sin(θ). It accepts acute or obtuse angles as long as they are between 0° and 180°.
Does it work when I only know the diagonals?
Select “Diagonals d₁,d₂ + angle” to apply A = (d₁ · d₂ · sin(θ)) / 2. The form checks that the diagonals and angle describe a valid parallelogram before returning area and perimeter.
What extra results does the calculator provide?
Beyond the main area you get the perimeter, relative height, reconstructed diagonals when applicable, and conversions to mm², cm², m², in², and ft². The “Copy results” button lets you save every output at once.