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How do I generate equally spaced points on the circumference of a circular feature in ArcMap?

I am currently working on a project where I need 36 equally spaced UTM coordinates that form a silo.

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You should always check the ArcScript (now called ArcGIS Code Sharing) website for an Esri based solution as there are many free community created tools, often just the thing you need. It took next to no time to find the following tool Create Points on Lines

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