Counting polygons within a certain radius

I have a large number of polygons which represent property boundaries located on a map.

I would like to count the number of polygons which are contained within a prescribed circle radius (please see example below). 

How would I attempt to do this in Global Mapper, is there a tool which can be used or is it easier to export the location of all polygons in excel as a CSV file along with their coordinates and try to calculate it mathematically. 

I think one of the reasons what I am having difficulties is the shapes are polygons and are not points which obviously have a specific coordinate which can be referenced

Thankyou for any help in advance

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