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Section 9.8 : 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 \(r = 3 - \cos \theta \).