The region is modeled by the common interior of the two polar plots r = 2310 COS θ and r = 770 + 770 COS θ.
![1834_Region is modeled by common interior of two polar.png](https://secure.tutorsglobe.com/CMSImages/1834_Region%20is%20modeled%20by%20common%20interior%20of%20two%20polar.png)
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.