A circle with radius 1 touches the curve y = |2x| in two places(see attachment for picture). Find the area of the region that lies between the curves. I am having a tough time with this one. I figured I could put the radius in a spot where it would form a right angle on the line, then try and split the area into two large rectangles, and then subtract the corresponding sectors of the circle from the volume. Only problem is, there aren't really any numbers so even though I know how to use integration to find the arc length for the sectors, I don't know WHAT to integrate or what my limits of integration would be. I can't seem to find a good place to start. Any help would be appreciated.