I have tried: for each vertex, add to total, divide by number of verities to get center.

I'v also tried: Find the topmost, bottommost -> get midpoint... find leftmost, rightmost, find midpoint.

Both of these did not return the perfect center because I'm relying on the center to scale a polygon.

I want to scale my polygons so I may put a border around them.

What is the best way to find the centroid of a polygon given that the polygon may be concave, convex and have many many sides of various lengths.

Thanks