Quadrilateral Area Calculator (from Coordinates)
Result
Quadrilateral Area Calculator (from Coordinates) Find the area of any quadrilateral from the coordinates of its four corners using the shoelace formula. Enter the (x, y) points for vertices A, B, C and D in order around the shape, and the calculator retur — free online calculator.
Formula
- Quadrilateral area from coordinates calculator. Apply the geometric relationship below and use the worked example to verify the setup.
- The main inputs are A — x₁, A — y₁, B — x₂, B — y₂, C — x₃, C — y₃, D — x₄, D — y₄. Enter them in the units and format shown in the calculator.
- Keep comparable quantities in compatible units whenever the formula combines or compares them.
- Changing any input above recalculates the result with the same calculation engine used by this page.
Example: Quadrilateral Area Calculator (from Coordinates)
- A — x₁: 0
- A — y₁: 0
- B — x₂: 6
- B — y₂: 0
- C — x₃: 6
- C — y₃: 4
- D — x₄: 0
- D — y₄: 4
For (0,0),(4,0),(4,3),(0,3): A=12.
Sample result: Calculating…
Frequently asked questions
What does the Quadrilateral Area Calculator (from Coordinates) calculate?
Enter the vertices in order around the boundary.
Which values should I enter?
Enter A — x₁, A — y₁, B — x₂, B — y₂, C — x₃, C — y₃, D — x₄, D — y₄ using the units and format shown beside each field.
What formula does this calculator use?
The calculator uses the following relationship: Shoelace area=|Σ(xᵢyᵢ₊₁−xᵢ₊₁yᵢ)|/2, ordered noncrossing vertices.
Why might my result differ from another source?
Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.
Does the result update automatically?
Yes. Changing an input updates the result using the same calculation engine shown on this page.