Examples
Examples
Try the starting example
- Planar outer ring
- [[0,0],[10,0],[10,10],[0,10]]
- JSON array of planar hole rings
- [[[2,2],[4,2],[4,4],[2,4]]]
- Outer area
- 100
- Total hole area
- 4
- Net planar area
- 96
Try another scenario
- Planar outer ring
- [[0,0],[10,0],[10,10],[0,10]]
- JSON array of planar hole rings
- [[[2,2],[5,2],[5,4],[2,4]]]
- Outer area
- 100
- Total hole area
- 6
- Net planar area
- 94
Calculation method
Calculation method
Outer area
Absolute shoelace exterior area.
Total hole area
Sum absolute hole areas after strict containment and nonoverlap validation.
Net planar area
Exterior minus validated hole areas.
Symbols and units
- a
- Planar outer ring
- b
- JSON array of planar hole rings
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- Planar simple exterior and disjoint strictly interior simple holes only. Coordinates must already use a suitable projected unit; geodesic area is not inferred. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.