Find the Area of the Region Lying Between the Loops $r = 2 - 4 \cos \theta$

question 35

Multiple Choice

Find the area of the region lying between the loops of $r = 2 - 4 \cos \theta$

• A) \(4 ( 2 \sqrt { 3 } - 3 \pi )\)
• B) \(4 ( \sqrt { 3 } + 2 \pi )\)
• C) \(8 \sqrt { 3 } - \pi\)
• D) \(4 ( 3 \sqrt { 3 } + \pi )\)
• E) \(12 \sqrt { 3 } + \pi\)

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