Let \( F(a, b) \) be a variable point satisfying \( 4 \leq a^{2}+b^{2} \leq 9 \) and \( b^{2}-4 ...

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Let \( F(a, b) \) be a variable point satisfying \( 4 \leq a^{2}+b^{2} \leq 9 \) and \( b^{2}-4 a b+a^{2} \leq 0 \). Let \( R \) be the complete equation represented in \( x-y \) plane in which \( P \) can lie. Area of region \( R \) is:
(a) \( \frac{2 \pi}{3} \)
(b) \( \pi \)
(c) \( \frac{4 \pi}{3} \)
(d) \( \frac{5 \pi}{3} \)
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