Find the Area of the Region Specified in Polar Coordinates $r = 6 \sin \theta$

question 96

Multiple Choice

Find the area of the region specified in polar coordinates.
-the region inside $r = 6 \sin \theta$ and outside $r = 3$

• A) \(9 \left( \frac { \sqrt { 3 } } { 4 } + \frac { \pi } { 3 } \right)\)
• B) \(9 \left( \frac { \sqrt { 3 } } { 2 } + \frac { \pi } { 3 } \right)\)
• C) \(9 \left( \frac { \sqrt { 3 } } { 4 } + \frac { 2 \pi } { 3 } \right)\)
• D) \(9 \left( \frac { \sqrt { 3 } } { 2 } + \frac { 2 \pi } { 3 } \right)\)

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