How to find all the polygons in a polygon?
If you store the result in a personal geodatabase, you can then go into access if you are licensed and query the result (or you could get the same results from just looking at the attribute table, sorted): You should get a list of all the islands, preceded by which lake it falls in.
How to select list of enclosed Island polygons?
I have a set of polygons, some of which enclose other polygons. They are lake polygons, and within lake polygons, are smaller island polygons. If I have a given lake polygon, how can I select or get a list of enclosed island polygons?
When does a point lie on the interior of a polygon?
If this sum is 2pi then the point is an interior point, if 0 then the point is an exterior point. This also works for polygons with holes given the polygon is defined with a path made up of coincident edges into and out of the hole as is common practice in many CAD packages.
How to determine the status of a point in a polygon?
To determine the status of a point (x p,y p) consider a horizontal ray emanating from (x p,y p) and to the right. If the number of times this ray intersects the line segments making up the polygon is even then the point is outside the polygon. Whereas if the number of intersections is odd then the point (x p,y p) lies inside the polygon.
How are polygons assigned to a target layer?
By spatially joining, you are assigning attributes from a source layer (here lakes) to the target layer based on how the layers overlap/contain/intersect one another. All island features will theoretically be assigned to the lake they fall within.
How to clip a polygon to an area of interest?
Open the Clip (analysis) tool and set input features to your land grade polygons and clip features to your area of interest rectangle. The tool uses the clip features a bit like a pastry cutter to extract just the area of interest.