Thread: Euler Characteristic of a disk

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?

thanks

Yes since they're homeomorphic.