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Consider the following curve in polar coordinates.

\[
r=2-2 \sin \theta
\]
Which one of the following is the area enclosed by the curve for $0 \leq \theta \leq 2 \pi$?

  1. $3 \pi$
  2. $4 \pi$
  3. $5 \pi$
  4. $6 \pi$

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