Let \( G \) be a circle of radius \( R0 \). Let \( G_{1}, G_{2}, \ldots, G_{n} \) be n circles o...

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Let \( G \) be a circle of radius \( R0 \). Let \( G_{1}, G_{2}, \ldots, G_{n} \) be n circles of equal radius \( r0 \). Suppose each of the \( n \) circles \( G_{1}, G_{2} \), \( \ldots, G_{n} \) touches the circle \( G \) externally. Also, for \( i=1,2, \ldots \), \( n-1 \), the circle \( G_{i} \) touches \( G_{i+1} \) externally, and \( G_{n} \) touches \( G_{1} \) externally. Then, which of the following statements is/ - are TRUE?
(a) If \( n=4 \), then \( (\sqrt{2}-1) rR \)
(b) If \( n=5 \), then \( rR \)
(c) If \( n=8 \), then \( (\sqrt{2}-1) rR \)
(d) If \( n=12 \), then \( \sqrt{2}(\sqrt{3}+1) rR \)
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