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Creating non-overlapping polygons from centroid with known size

Dear group,

I am looking for a method that allows me to creating non-overlapping 
polygons from centroids with a known size. I have information on the 
location of farms in Azerbaijan. All farms have a specific size, but I 
don?t know the exact borderlines of those farms. Now, I have to create a 
polygon layer that has polygons with the specific farmsize for each 
polygon, and the polygons of the farms should not overlap. However, I do 
not have a good idea how to do that.


I would be grateful for any hints or suggestions!

regards,
Jens