A) \[6:5\]
B) \[3:4\]
C) \[4:3\]
D) \[5:6\]
Correct Answer: D
Solution :
Ratio of areas \[=\frac{25}{36}\Rightarrow \frac{\pi r_{1}^{2}}{\pi r_{2}^{2}}=\frac{25}{36}\] [where \[{{r}_{1}}\] and \[{{r}_{2}}\] are the radii of two circles] \[\Rightarrow \] \[\frac{{{r}_{1}}}{{{r}_{2}}}=\frac{5}{6}\] So, ratio of circumference of the circles \[=\frac{2\pi {{r}_{1}}}{2\pi {{r}_{2}}}=\frac{{{r}_{1}}}{{{r}_{2}}}=\frac{5}{6}\] i.e., \[5:6\]
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