Question

The ratio of circumference of two circles is 2:3 Find the ratio of their areas

Answer 1

hence, the answer is 4:9.
i am correct or not tell

Answer 2

Answer:

$Ratio \: of \: circles \: Area =\frac{4}{9}$

Step-by-step explanation:

$Let \: r,\: R \: are \: radii \: of \: two \: circles$

$Ratio \: of \: circumference \:\\ of \: two \: circles=2:3 \: (given)$

$\implies \frac{2\pi r}{2\pi R}= \frac{2}{3}$

$\implies \frac{r}{R}=\frac{2}{3}--(1)$

$Now,\\Ratio \: of \: \\circles \: Area = \frac{\pi r^{2}}{\pi R^{2}}$

$=\big(\frac{r^{2}}{R^{2}}\big)\\=\big(\frac{r}{R}\big)^{2}\\=\big(\frac{2}{3}\big)^{2}\\=\frac{4}{9}$

Therefore,.

$Ratio \: of \: circles \: Area =\frac{4}{9}$

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