Question
If the ratio between the areas of two circles is 4 : 1 then the ratio between their radii will be ?
Answer: Option B
$$\eqalign{
& \Rightarrow \frac{{\pi R_1^2}}{{\pi R_2^2}} = \frac{4}{1} \cr
& \Rightarrow \frac{{R_1^2}}{{R_2^2}} = \frac{4}{1} \cr
& \Rightarrow \frac{{{R_1}}}{{{R_2}}} = \frac{2}{1}{\text{ Or }}2:1 \cr} $$
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$$\eqalign{
& \Rightarrow \frac{{\pi R_1^2}}{{\pi R_2^2}} = \frac{4}{1} \cr
& \Rightarrow \frac{{R_1^2}}{{R_2^2}} = \frac{4}{1} \cr
& \Rightarrow \frac{{{R_1}}}{{{R_2}}} = \frac{2}{1}{\text{ Or }}2:1 \cr} $$
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