I have 2 different layers
1) a point file with latitude/longitude coordinates
2) shapefile feature class of polygons
I want to find 10 of the closest points to the polygons and then determine the buffer radius that would be required to encase all 10 points, but I do not even know if this is possible using ArcMap.
Not an elegant way but you can use the Generate Near Table geoprocessing tool with your polygons as the Input Features, your points as the Near Features, uncheck the "find only closest feature (optional) parameter and change "maximum number of closest features (optional) to 10. The output table will show the ID's of the 10 nearest points along with distance to the ID of a polygon. The 10th point distance would then be your distance parameter for buffer. Like I said, not exactly elegant but should work.
Yes, that would definitely work.
Do you know if it would be possible to automate this process? I am looking at doing upwards of 100 polygon features and it would be very time consuming to find the buffer distance this way for all of them
Thank you for your time.
With ModelBuilder, certainly.
Hope this helps!