A) 14 : 11
B) 13 : 10
C) 11 : 14
D) 10 : 13
Correct Answer: A
Solution :
\[2\pi r=4x\] \[\Rightarrow \,\] \[r=\frac{4x}{2\pi }\] \[\Rightarrow \,\] \[\,\frac{{{A}_{C}}}{{{A}_{S}}}=\frac{\pi 16{{x}^{2}}}{4{{\pi }^{2}}\times {{x}^{2}}}=\frac{4}{\pi }\] \[=\frac{4}{22}\times 7=\frac{14}{11}\Rightarrow 14:11\]
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