optimize site selection / placement of a polygon based on slope

[Casso3921]

Hi, 

I'm looking for suggestions on the best approach to optimise the placement of a 2km diameter circle. I'd like to be able to identify a location which would have the greatest proportion of compliant slopes (<10 deg) within the circle and as secondary priority has the least proportion of non-compliant slopes distributed towards the centre of the circle. 

Regards, 

Sarah 

[DanPatterson]

Perhaps 

Reclassify (3D Analyst)—ArcGIS Pro | Documentation

to two classes, < 10 deg and not as 1 and 0

then

Region Group (Spatial Analyst)—ArcGIS Pro | Documentation

then

Zonal Geometry (Spatial Analyst)—ArcGIS Pro | Documentation

Zonal Geometry as Table (Spatial Analyst)—ArcGIS Pro | Documentation

This should give the groups of class 1 (reclassify) numbered as they are found (regiongroup) with the attribute of your choice (zonalgeometry and zg as table).  You should be able to pick the area(s) that meet your area and circular criteria (zg using area and ellipse parameters, with the ellipse having both axes similar/circular)