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### Section 3-8 : Area with Polar Coordinates

1. Find the area inside the inner loop of $$r = 3 + 10\sin \theta$$.
2. Find the area inside the inner loop of $$r = 5 + 12\cos \theta$$.
3. Find the area inside the graph of $$r = 8 + \cos \theta$$ and to the right of the $$y$$-axis.
4. Find the area inside the graph of $$r = 5 - 4\sin \theta$$ and the below the $$x$$-axis.
5. Find the area that is inside $$r = 4$$ and outside $$r = 4 - 2\sin \theta$$.
6. Find the area that is inside $$r = 7 - 3\cos \theta$$ and outside $$r = 4$$.
7. Find the area that is inside $$r = 6 + 6\cos \theta$$ and outside $$r = 4 - 3\cos \theta$$.
8. Find the area that is inside $$r = 4 + 2\sin \theta$$ and outside $$r = 5 - \sin \theta$$.
9. Find the area that is inside $$r = 5 - \sin \theta$$ and outside $$r = 4 + 2\sin \theta$$.
10. Find the area that is inside both $$r = 6 - 4\sin \theta$$ and $$r = 5$$.
11. Find the area that is inside both $$r = 3 + 2\cos \theta$$ and $$r = 3 - \cos \theta$$.