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Find the Area of the Region Specified in Polar Coordinates r=5+10sinθr = 5 + 10 \sin \theta

Question 32

Multiple Choice

Find the area of the region specified in polar coordinates.
-the smaller loop of the curve r=5+10sinθr = 5 + 10 \sin \theta


A) 254(2π33) \frac { 25 } { 4 } ( 2 \pi - 3 \sqrt { 3 } )
B) 252(2π33) \frac { 25 } { 2 } ( 2 \pi - 3 \sqrt { 3 } )
C) 252(2π+33) \frac { 25 } { 2 } ( 2 \pi + 3 \sqrt { 3 } )
D) 254(2π+33) \frac { 25 } { 4 } ( 2 \pi + 3 \sqrt { 3 } )

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