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Judging Polygons regarding Compactness Ratio

Question asked by mwoerner on Feb 22, 2013
Latest reply on Feb 27, 2013 by dlee-esristaff
Dear All,

while analysing polygons respective their fitness of size and form to build power plants there I am facing the following problem:

I computed Area and Perimeter of the polygons and based on these parameters the Compactness Ratio with the following formula:
[Perimeter] / (2 * 3.14159 * Sqr ([Area] / 3.14159))

As I did in other analyses before I wanted to filter the polygons with the lowest compactness (with the highest values of the Compactness Ratio). But due to the fragmented data structure of another layer the polygons are strewn with "holes" (see the attached screenshot, too). This results in rather high values of the Compactness Ratio and makes it really difficult to judge about the fitness of the polygons.

In fact I have to figure out those polygons that allow to build plants in the size of 1500m * 1300m. Does anyone have an idea of how to do that without measuring every single polygon?

Thanks a lot in advance,