What is the condition for two concentric circles of radii $r_{1}$ and $r_{2}$ to be congruent ?

\frac{r_{1}}{r_{2}} = 1

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\frac{r_{1}}{r_{2}} > 1

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\frac{r_{1}}{r_{2}} < 1

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\frac{r_{2}}{r_{1}} > 1

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Solution

The correct option is A $\frac{r_{1}}{r_{2}} = 1$
Circles having same centre are known as concentric circles. For two circles to be congruent, they must overlap each other i.e their radii must be equal.
So, $r_{1} = r_{2}$
$\Rightarrow \frac{r_{1}}{r_{2}} = 1$

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