Area of the roti for your cousin is one-fourth the roti for you. What can you say about the ratio of $\frac{radius of your cousin's roti}{radius of your roti}$ ?

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$\frac{1}{4}$

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$\frac{1}{2}$

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$\frac{1}{8}$

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Solution

The correct option is C
$\frac{1}{2}$

Area = $π r^{2}$

$\frac{area of your cousin's roti}{area of your roti} = \frac{1}{4}$

If $r_{1}$ is the radius of your cousin's roti and $r_{2}$ is the radius of your roti

$\frac{π {r_{1}}^{2}}{π {r_{2}}^{2}} = \frac{1}{4}$

Hence $\frac{r_{1}}{r_{2}} = \frac{1}{2}$

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Area of the roti for your cousin is one-fourth the roti for you. What can you say about the ratio of radius of your cousin's rotiradius of your roti?

The correct option is C 12 Area = πr2 area of your cousin's rotiarea of your roti=14 If r1 is the radius of your cousin's roti and r2 is the radius of your roti πr12πr22=14 Hence r1r2=12

Area of the roti for your cousin is one-fourth the roti for you. What can you say about the ratio of $\frac{radius of your cousin's roti}{radius of your roti}$ ?