Math, asked by DivyaAgar, 1 year ago

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

Answers

Answered by ABC007
442
hence, the answer is 4:9.
i am correct or not tell
Attachments:
Answered by mysticd
168

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}

•••♪

Similar questions