double integrals in polar coordinates

I have to use a double integral in polar coordinates to find the area of the region inside the circle x^2 + y^2 = 4 and to the right of the line x =1.

I have it all graphed and I know how to do double integrals but I am confused as to what I am integrating, it is probably really simple but I was sick the day we went over this section in class so I have no idea what I am doing.

Please help

1 Attachment(s)

double integrals in cartesian coordinates

Here's a picture of what I have so far, I hope I am going in the right direction:

Attachment 20042

would i replace x^2 + y^2 with r? if so what would my boundaries be? I'm confused by this....