Parallelogram Calculator
Calculate the area, perimeter, and diagonals of any parallelogram. Provide the two side lengths plus either the height or the included angle for complete results.
A parallelogram is a quadrilateral with two pairs of parallel sides. Opposite sides are equal, opposite angles are equal, and the diagonals bisect each other.
Parallelogram Formulas
- Area (from height): A = base x height
- Area (from angle): A = a x b x sin(angle)
- Perimeter: P = 2 x (a + b)
- Diagonals: p = sqrt(a^2 + b^2 - 2ab x cos(angle)), q = sqrt(a^2 + b^2 + 2ab x cos(angle))
Special Cases
A rectangle is a parallelogram with all right angles. A rhombus is a parallelogram with all sides equal. A square is both a rectangle and a rhombus. Understanding parallelograms helps you work with all these special shapes.