Yes since they're homeomorphic.
I need to find the integral of gaussian curvature of a surface given by the graph over disk x2+y2<=2. I know that the integral of gaussian curvature= 2pi*(euler characteristic).
The Euler characterisic of the disk x2+y2<=1 is 1. So would the Euler characterisic of my disk: x2+y2<=2 also be 1?