Question

if the ratio of the ridii of two circles is 2:3 find the radio of their areas
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Answer 1

Given

• Ratio of the radii of two circles is 2:3.

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To find

• Ratio of their areas.

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Solution

• Let the ratio of their radii be x.

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$\tt\longrightarrow{r = 2x}$

$\tt\longrightarrow{R = 3x}$

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• Now, we will use the formula

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$\: \: \: \: \: \: \: \: \: \: \: \: \boxed{\bf{\bigstar{Area_{(Circle)} = \pi r^2{\bigstar}}}}$

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• Let us find the ratio of their areas.

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$\tt:\implies\: \: \: \: \: \: \: \: {Ratio = \dfrac{\pi r^2}{\pi R^2}}$

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$\tt:\implies\: \: \: \: \: \: \: \: {Ratio = \dfrac{\cancel{\pi} \times (2x)^2}{\cancel{\pi} \times (3x)^2}}$

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$\tt:\implies\: \: \: \: \: \: \: \: {Ratio = \dfrac{4x^2}{9x^2}}$

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$\tt:\implies\: \: \: \: \: \: \: \: {Ratio = \dfrac{4}{9}}$

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$\tt:\implies\: \: \: \: \: \: \: \: {Ratio = 4:9}$

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Hence,

• Ratio of their areas is 4:9.

Answer 2

Answer:

4:9

Step-by-step explanation:

I have posted the image( answer)