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

question 32

Multiple Choice

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

• A) \(\frac { 25 } { 4 } ( 2 \pi - 3 \sqrt { 3 } )\)
• B) \(\frac { 25 } { 2 } ( 2 \pi - 3 \sqrt { 3 } )\)
• C) \(\frac { 25 } { 2 } ( 2 \pi + 3 \sqrt { 3 } )\)
• D) \(\frac { 25 } { 4 } ( 2 \pi + 3 \sqrt { 3 } )\)

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