# Buffer around polygon relative to distance from a point?

Question asked by SasjaB_MyEsri on Oct 6, 2017
Latest reply on Oct 18, 2017 by Hornbydd

Hi, is it possible to create a buffer around a polygon where the size of the buffer depends on the distance from the edge of the polygon to a certain point inside the polygon?

I have an egg shaped polygon, inside this polygon there's a point. On the west-east axis the distance from this point to the outer edge of the polygon is the same on both sides, but on the north-south axis there's a large difference.

The distance from the point to the northern most part of the polygon is 16 km, the distance to the Southern most part is only 8 km.

I only know how to create regular buffers with either a set distance or a distance based on a field, but what I really want would be to create a negative buffer based on, for example, 1/3 of the distance from the edge of the polygon to the point.

Hopefully this question makes sense.

PS:I have ArcGIS for desktop 10.5, the basic license.