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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

Further reference:

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It should be noted that the Convex Hull option is only available with an ArcInfo license. If you don't have this license, then this tool may not be sufficient. – Fezter Jun 15 '12 at 2:56
This link works for all license levels… – Dan Patterson Jun 15 '12 at 12:46

I think at basic license this can be done by using "Rectangle By Area" Command as below is the comparison..


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