I need some help in how to find the long axis of an irregular shaped ellipse using ArcGIS Desktop.
I have found the centroid but don't know how to determine the longest distance.
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You can use the Minimum Bounding Geometry (Data Management) tool.
Use the 'Convex Hull' option.
This will create several new fields:
MBG_Length will give you the distance between the farthest points (antipodes)
The MBG_APOD points will give you the coordinates of the new antipodal line
I think at basic license this can be done by using "Rectangle By Area" Command as below is the comparison..