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Figuring out how many 300 yard radiuses will fit within into different sized polygons.

Question asked by finkj03 on Mar 12, 2015
Latest reply on Mar 13, 2015 by Dan_Patterson

I have been tasked to find out exactly how many 300 square yard radiuses will fit completely into several different sized polygons.  I can figure it the math out on paper, but I need to show it with a map.  There has to be an easier way than just creating radius buffers over and over and over again one at a time until the polygon is filled.  Can some one with coding experience help me out?  It may be some simple tool that I'm just overlooking.