Area of Quadrilateral Calculator
Result:
How It Works
Choose Method
Select calculation type
Enter Data
Input coordinates or diagonals
Common Examples
Area of Quadrilateral Calculator
What
Calculate the area of any quadrilateral using coordinates or diagonal measurements.
Why
Essential for geometry, land surveying, architecture, and engineering projects.
Applications
Construction planning, area measurement, geometric analysis, and educational purposes.
📊 Calculation Examples
Frequently Asked Questions
What is a quadrilateral?
A quadrilateral is a polygon with four sides and four vertices. Examples include squares, rectangles, rhombuses, parallelograms, and trapezoids.
What is the Shoelace formula?
The Shoelace formula calculates the area of a polygon using its vertex coordinates: A = ½|∑(xᵢyᵢ₊₁ - xᵢ₊₁yᵢ)|. It works for any simple polygon.
How do I use the diagonal method?
Enter the lengths of both diagonals and the angle between them. The formula is: Area = ½ × d₁ × d₂ × sin(θ).
What order should I enter coordinates?
Enter coordinates in order around the quadrilateral (clockwise or counterclockwise). The Shoelace formula automatically handles the calculation.
Can I calculate irregular quadrilaterals?
Yes! Both methods work for any quadrilateral shape, including irregular ones. The coordinate method is especially useful for complex shapes.
What units does the calculator use?
The calculator works with any consistent units. If you input lengths in meters, the area will be in square meters. Always use the same units for all measurements.
Is this calculator accurate for all quadrilaterals?
Yes, both the Shoelace formula and diagonal method are mathematically precise for all types of quadrilaterals, providing accurate area calculations.