Parcel Area & Subdivision Calculator
Compute parcel area and perimeter from a coordinate list with the Gauss formula; split the parcel to a target area with a cut line parallel to a chosen edge, and get the cut line coordinates and piece listings.
Y = easting (rightward), X = northing (upward) — Turkish surveying convention. Separators: space, tab, comma or semicolon. Decimal comma (4500100,25) is supported. The parcel is assumed closed (the last point connects back to the first).
All calculations run in your browser — your data is never uploaded to any server.
Related Tools
Area from Coordinates and Subdivision Pre-Computation
The Gauss (Shoelace) Area Formula
The area of a closed parcel is computed from its corner coordinates with the Gauss area formula: 2F = Σ Yᵢ·(Xᵢ₊₁ − Xᵢ₋₁). Following the Turkish convention, Y is the easting and X the northing. The tool reports the area in m² together with decares (1 dönüm = 1,000 m²) and hectares (1 ha = 10,000 m²). The perimeter is the sum of horizontal distances between consecutive corners.
- Flexible input: "PointNo Y X" or just "Y X"; space, comma or tab separators
- Decimal comma: European-style decimals (4500100,25) are parsed
- Closed parcel: the last point is automatically connected to the first
- Orientation-independent: correct area for clockwise or counter-clockwise input
How Is the Edge-Parallel Split Computed?
Pick an edge from the list and enter the target area (m²) to remain on that edge's side. The tool slides a cut line parallel to the selected edge inward, splitting the parcel with half-plane clipping (Sutherland-Hodgman) at each position, and converges on the target area via binary search to millimetre-level precision. The output includes the two endpoints of the cut line, the areas of both pieces, and their corner coordinate lists.
Other Tools
Use the Azimuth & Traverse Calculator for bearing and traverse computations, or the Area Calculator to measure areas by drawing on a map.
Frequently Asked Questions
What is a parcel subdivision (ifraz)?
Subdivision (Turkish: ifraz) is the process of dividing a single registered land parcel into two or more parcels in accordance with zoning legislation. This tool computes the cut line for a target area from the closed parcel's coordinates, providing a quick pre-computation for subdivision work.
Why is the cut line parallel to the selected edge?
In practice, subdivision lines are usually defined parallel to a road or an existing boundary (edge), so the resulting pieces have regular frontages. The tool slides a line parallel to your chosen edge inward and finds, via binary search, the position that leaves exactly the target area on the edge side.
Can the results be used in official procedures?
No; this tool is for preliminary computation only. An official subdivision is subject to municipal approval, zoning legislation, and the licensed cadastral surveying (LIHKAB) / cadastre process. Final boundaries and areas are determined by measurements and registration carried out by an authorized surveying engineer.