A) \[r=4R\]
B) \[r=R/2\]
C) \[r=R/3\]
D) None of these
Correct Answer: B
Solution :
\[r=4R\sin \frac{A}{2}\sin \frac{B}{2}\sin \frac{C}{2}\] \[\Rightarrow \] \[r=4R{{\sin }^{3}}{{30}^{o}}\], \[\{\because \,\,A=B=C={{60}^{o}}\}\] \[\Rightarrow \] \[r=\frac{R}{2}\].
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