Question

the circumference of two circles r in the ratio 2:3 .find the ratio of their areas
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Answer 1

Answer:

4:9

Step-by-step explanation:

Let’s consider the radius of two circles C1 and C2 be r1 and r2. We know that, Circumference of a circle (C) = 2πr And their circumference will be 2πr1 and 2πr2. So, their ratio is = r1: r2 Given, circumference of two circles is in a ratio of 2: 3 r1: r2 = 2: 3 Then, the ratios of their areas is given as = 4949 Hence, ratio of their areas = 4: 9

Answer 2

ANSWER

$\LARGE\bold{ \red{ \boxed{\blue{\underline{\mathtt{\red{Given:↓}}}}}}}$

• The circumference of two circles r in the ratio 2:3

$\sf \bf {\boxed {\mathbb {TO\:FIND}}}$

• The ratio of their areas

$\huge \color{green} \boxed{\colorbox{lightgreen}{Solution}}$

• Consider let the radii of two circles be

r 1 and r 2 respectively.

We have

$\frac{2πr1}{2πr2} = \frac{2}{3}$

$\frac{r1}{r2} = \frac{2}{3}$

By doing suqaring both sides we get ,

$\frac{r \frac{\pi \: r2}{1} }{\pi \: r \frac{2}{2} } = \frac{4}{9}$

So the,

$\sf \bf \huge {\boxed {\mathbb {ANSWER}}}$

• The ratio of the areas of two circles is

$4:9$

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