Area of Parallelogram using Diagonals
A parallelogram consists of two diagonals that intersect each other at a specific angle meeting at a particular point. The area of a parallelogram can be calculated by using the length of its diagonals.
Formula for the area of parallelogram by using the length of diagonals is given by,
Area of Parallelogram = 1/2 × d1 × d2 sin (x)
For any parallelogram of diagonals ‘d1‘ and ‘d2‘ and angle between them is ‘x’ whose image is shown below, its area is 1/2 × d1 × d2 sin (x) units.
Example: Determine the area of parallelogram, when the angle between two intersecting diagonals of a parallelogram is 90 degrees and the length of its diagonals are 2 cm and 6 cm.
Given,
- Length of One Diagonal (d1) = 2 cm
- Length of Other Diagonal (d2) = 6 cm
Angle between two intersecting diagonals (x) = 90 degrees
Formula to calculate Area of a Parallelogram is,
A = 1/2 × d1 × d2 sin (x)
A = 1/2 × 2 × 6 × sin (90)
A = 6 cm2
Area of Parallelogram | Definition, Formulas & Examples
The area of a Parallelogram is the space or the region enclosed by the boundary of the parallelogram in a two-dimensional space. It is calculated by multiplying the base of the parallelogram by its height. In this article, we will learn more about the Area of Parallelogram Formulas, and how to use them with the help of examples.
Table of Content
- What is the Area of Parallelogram?
- Formulas – Area of a Parallelogram
- Area of Parallelogram Formula
- How to Find Area of Parallelogram?
- Area of Parallelogram using Base and Height
- Area of Parallelogram using Side Lengths
- Area of Parallelogram using Diagonals
- Area of Parallelogram in Vector form
- Area of Parallelogram Solved Examples
- Practice Questions on Area of Parallelogram