Math Calculator

Parallelogram Calculator

Compute parallelogram area from base and height, or from sides and an included angle.

Choose an area method

Select base/height or sides+angle mode.

Clear

About this calculator

How to use Parallelogram Calculator, plus the formulas and logic behind the results.

Tool description

Area equals base times corresponding height. Equivalently, A = ab sin θ for adjacent sides and included angle.

How to use

  1. Select a calculation method.
  2. Enter the required positive lengths (and angle if needed).
  3. Select Calculate.
  4. Read the area.

Formulas & reference

  • A = base × height
  • A = a b sin θ

Parallelogram tips

  • Opposite sides equal
  • Height is perpendicular to the base
  • Rectangle is a special case (θ = 90°)
  • Rhombus uses the same area formulas

Calculation logic

Base/height multiplies the inputs. Sides/angle converts degrees to radians when needed, then uses sin.

Angle should be between 0 and 180° (exclusive) for a positive area.

Parallelogram Calculator FAQ

Common questions about this calculator and how to use the results.

How do you find parallelogram area?

Multiply base by height, or use ab sin θ.

What is height?

The perpendicular distance between a base and its opposite side.

Why sine of the angle?

It extracts the perpendicular component between the sides.

Can the angle be 90°?

Yes—then you have a rectangle (or square if sides equal).

Must sides be positive?

Yes.

Does this find perimeter?

Not in this tool; perimeter is 2(a+b).