The ratio of the areas of the circumcircle and the incircle of a square is

A) 2 : 1

B) 1 : 2

C) \( \Large \sqrt{2}:1 \)

D) \( \Large 1:\sqrt{2} \)

Correct answer:
A) 2 : 1

Description for Correct answer:

Ratio of the areas of the circumcircle and incircle of a square

=\( \Large \frac{(Diagonal)^{2}\pi}{(Side)^{2}\pi}=\frac{(Side\times \sqrt{2})^{2}}{(Side)^{2}}=\frac{2}{1} \)or 2:1



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