Parallelogram Calculator

Determine the properties of parallelograms with ease using our Parallelogram Calculator.

Base a:
Base b:
Altitude (h):
Angle (θ):
Long Diagonal:
Short Diagonal:

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What is a Parallelogram?

A parallelogram is a four-sided polygon with opposite sides that are parallel and equal in length. Additionally, opposite angles in a parallelogram are also equal. These defining characteristics distinguish it from other quadrilateral shapes.

Parallelogram Diagram

Parallelogram Formula

  • 1. Perimeter = 2a + 2b
  • 2. Area = bh = absinθ
  • 3. Long Diagonal = sqrt(a2 + b2 - 2abcos(π - θ));
  • 4. Short Diagonal = sqrt(a2 + b2 - 2abcos(θ));

For example, when base a = 2, base b = 3, altitude(h) = 1, then the Angle (θ) = 30, perimeter = 10, area = 1.5, Long Diagonal = 4.8366, Short Diagonal = 1.6148.

For example, when base a = 14, base b = 36, Angle (θ) = 33, then the Altitude (h) = 13.9988, perimeter = 100, area = 251.9784, Long Diagonal = 38.4528, Short Diagonal = 38.7993.

Using a Parallelogram Calculator

Calculating the properties of a parallelogram manually can be time-consuming, but fortunately, there are online tools and calculators available to simplify the process. Here's how you can use a parallelogram calculator:

  • Step 1: Enter the required values.
  • Step 2: Click the "Calculate" button, and the calculator will instantly provide results.

Practical Applications

Parallelograms find practical applications in various fields, including architecture, engineering, and design. They are commonly used to create stable structures and aesthetically pleasing designs. Architects often incorporate parallelograms into their blueprints for stability and balance in buildings.

A parallelogram calculator simplifies the process and can be a valuable tool for students, professionals, and enthusiasts in various fields.