Question

the ratio of the radii of two circle is 1:3.their areas are in the ratio

Answer 1

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Answer 2

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the ratio of two circles is in the ration 1:3

let the radii of one circle be x and other be 3x

area of circle with radii x=
$\pi {x}^{2} \: {cm}^{2}$

area of circle with radii 3x=
$\pi ({3x})^{2} = \pi9 {x}^{2} {cm}^{2}$

→ ratio of area of circle with radii x cm to ratio of area of circle with radii 3x cm

$= \frac{\pi {x}^{2} }{\pi9 {x}^{2} } \\ = \frac{1}{9}$

→ so, 1/9 is the required ratio
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