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

Question 96

Multiple Choice

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


A) 9(34+π3) 9 \left( \frac { \sqrt { 3 } } { 4 } + \frac { \pi } { 3 } \right)
B) 9(32+π3) 9 \left( \frac { \sqrt { 3 } } { 2 } + \frac { \pi } { 3 } \right)
C) 9(34+2π3) 9 \left( \frac { \sqrt { 3 } } { 4 } + \frac { 2 \pi } { 3 } \right)
D) 9(32+2π3) 9 \left( \frac { \sqrt { 3 } } { 2 } + \frac { 2 \pi } { 3 } \right)

Correct Answer:

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