The region is modeled by the common interior of the two polar plots r = 2310 COS θ and r = 770 + 770 COS θ.
1. Find the (x, y) coordinates of the two intersection points.
2. Find the equations of the tangent lines to r = 770 + 770 cos(θ) at the point of intersection that lies above the x-axis.
3. Find the area of the greyed-out region.