Parallelogram Calculator

What is a Parallelogram?

A parallelogram is a quadrilateral with two pairs of parallel sides. Opposite sides are equal in length and opposite angles are equal in measure. Common examples of parallelograms include rectangles, squares, and rhombuses. This Parallelogram Calculator computes all key properties including area, perimeter, height, diagonals, and angles. For other quadrilateral shapes, visit the Rectangle Calculator.

Parallelogram Formulas

For a parallelogram with side a, base b, and angle A (in degrees), the following formulas apply:

• Area (K): K = a × b × sin(A)
• Height (h): h = a × sin(A)
• Perimeter (P): P = 2a + 2b
• Diagonal p: p = √(a² + b² - 2ab cos(A))
• Diagonal q: q = √(a² + b² + 2ab cos(A))
• Angle B: B = 180° - A

How to Use the Parallelogram Calculator

Enter the side length (a), base length (b), and angle A (in degrees). The calculator will instantly compute and display:

• Area (K) - the space enclosed by the parallelogram
• Perimeter (P) - the total distance around the parallelogram
• Height (h) - the perpendicular distance between the base and opposite side
• Angle B - the adjacent angle (since A + B = 180°)
• Diagonal p and Diagonal q - the two diagonals of the parallelogram

Properties of a Parallelogram

• Opposite sides are parallel and equal in length
• Opposite angles are equal (A = C, B = D)
• Adjacent angles are supplementary (A + B = 180°)
• Diagonals bisect each other
• The sum of squares of diagonals equals twice the sum of squares of sides: p² + q² = 2(a² + b²)