Find the Area of the Inner Loop Of $r = 3 + 6 \sin \theta$

question 7

Multiple Choice

Find the area of the inner loop of $r = 3 + 6 \sin \theta$

• A)
• \(27 \pi + \frac { 27 \sqrt { 2 } } { 2 }\)
• B)
• \(9 \pi - \frac { 27 \sqrt { 3 } } { 4 }\)
• C)
• \(27 \pi - \frac { 27 \sqrt { 3 } } { 4 }\)
• D)
• \(9 \pi - \frac { 27 \sqrt { 3 } } { 2 }\)
• E)
• \(9 \pi + \frac { 27 \sqrt { 2 } } { 2 }\)

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