[GIS] Intersection point of polygon and the line created by two points ArcPy

Question

I have polygon layer. I selected the most distant vertex from centroid (picture: point A). (How to do that is in the answer here: Select the most distant vertex from polygon's centroid using ArcPy)
What I need to do next is that I have to find intersection point (point B) of the outline of polygon and line created by centroid and the most distant point (line OA).

Answer 1

Field Calculator solution. See first post on how to use:

def getFarPoint(shp,n):
    p=shp.centroid
    g=arcpy.PointGeometry(p)
    l=shp.boundary()
    points=l.getPart(0)
    m=len(points); lMax=0.0
    for i in range(m):
        pN=points.getObject(i)
        d=g.distanceTo(pN)
        if d>lMax:
            lMax=d;pBest=pN
    xC,yC=p.X,p.Y
    xF=pBest.X;yF=pBest.Y
    pBest.X=xC+(xC-xF)
    pBest.Y=yC+(yC-yF)
    L=arcpy.Polyline(arcpy.Array([pBest,p]))
    arcpy.Intersect_analysis([l,L],"in_memory/pnts", "","", "point")
    g = arcpy.Geometry()
    geometryList = arcpy.CopyFeatures_management("in_memory/pnts",g)
    pBest=geometryList[0].getPart(0)
    pick=[pBest.X,pBest.Y]
    return pick[n]