Find the Area of the Specified Region $r ^ { 2 } = 4 \sin 2 \theta$

question 218

Multiple Choice

Find the area of the specified region.
-Inside the lemniscate $r ^ { 2 } = 4 \sin 2 \theta$ and outside the circle $r = \sqrt { 2 }$

• A) \(\frac { 2 } { 3 } ( 3 \sqrt { 3 } - \pi + 6 )\)
• B) \(\frac { 4 \pi } { 3 }\)
• C) \(\frac { 2 } { 3 } ( 3 \sqrt { 3 } - \pi )\)
• D) \(\frac { 1 } { 2 } ( 2 \pi + 3 \sqrt { 3 } )\)

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