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Q.

If the diameter of a circle is equal to the side of a square, then the ratio of their areas is

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a

$2 : π$

b

$π : 2$

c

$π : 4$

d

$4 : π$

answer is B.

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Detailed Solution

$d = a \Rightarrow 2 r = a \Rightarrow r = \frac{a}{2}$

Area of a circle: Area of a square

$= {πr}^{2} : a^{2}$

$= \frac{π a^{2}}{4} : a^{2}$

$= \frac{\frac{π a^{2}}{4}}{\frac{a^{2}}{1}}$

$= π : 4$

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