MihsabaParallelogram Calculator

Parallelogram Calculator

Calculate parallelogram area, perimeter, height and both diagonals from two side lengths and their included angle.

How to use

A parallelogram is fixed by two adjacent side lengths and their included angle. The calculator returns area, perimeter, height on side a and both diagonals.

  1. Enter the two side lengths.
  2. Enter the included angle in degrees between 0 and 180.
  3. Choose a length unit.
  4. Review area, perimeter, height and diagonals.

How it is calculated

A=ab·sinθ; P=2(a+b); diagonals from the cosine rule

Example

For a=8, b=5 and θ=60°, area is about 34.641 and perimeter is 26.

Important notes

The reported height is b·sinθ relative to base a. As the angle approaches 0° or 180°, the area approaches zero.

Frequently asked questions

Is a rectangle a parallelogram?

Yes. It is the 90° special case.

Are the diagonals always equal?

No; they are equal for the rectangle case.

How is area calculated?

A=ab·sinθ.

Is this calculator free?

Yes. It is free to use and requires no account.