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Section 9.8 : Area with Polar Coordinates

  1. Find the area inside the inner loop of \(r = 3 - 8\cos \theta \). Solution
  2. Find the area inside the graph of \(r = 7 + 3\cos \theta \) and to the left of the \(y\)-axis. Solution
  3. Find the area that is inside \(r = 3 + 3\sin \theta \) and outside \(r = 2\). Solution
  4. Find the area that is inside \(r = 2\) and outside \(r = 3 + 3\sin \theta \). Solution
  5. Find the area that is inside \(r = 4 - 2\cos \theta \) and outside \(r = 6 + 2\cos \theta \). Solution
  6. Find the area that is inside both \(r = 1 - \sin \theta \) and \(r = 2 + \sin \theta \). Solution