How to find overlap between two convex hulls
I want to find out if the Polygons overlap or not
Convex hulls are convex, so you can use a convex polygon collision detection algorithm.
http://content.gpwiki.org/index.php/Polygon_Collision#Separating_Axis
If they overlap,then the area(approx) covered by the common region.
You can find the intersection polygon
https://en.wikipedia.org/wiki/Sutherland%E2%80%93Hodgman_algorithm
Then find its area