The area (in sq. units) of the region S = { Z ∈ ℂ; |z - 1| ≤ 2; (z + z̅) + i (z - z̅) ≤ 2, Im (z) ≥ 0} is  

1
\(\frac{7\pi}{3}\)
2
\(\frac{3\pi}{2}\)
3
\(\frac{17\pi}{8}\)
4
\(\frac{7\pi}{4}\)

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