The ratio of the areas of the circles with ra | vedclass

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(B) The area of a circle is given by the formula $A = \pi r^2$,where $r$ is the radius.Let the radii of the two circles be $r_1 = 8 \, cm$ and $r_2 =

Vedclass · Accepted Answer

$4:9$

Vedclass · Answer

(B) The area of a circle is given by the formula $A = \pi r^2$,where $r$ is the radius.Let the radii of the two circles be $r_1 = 8 \, cm$ and $r_2 = 12 \, cm$.The ratio of their areas is $\frac{A_1}{A_2} = \frac{\pi r_1^2}{\pi r_2^2} = \frac{r_1^2}{r_2^2}$.Substituting the values,we get $\frac{8^2}{12^2} = \frac{64}{144}$.Simplifying the fraction by dividing both numerator and denominator by $16$,we get $\frac{64 \div 16}{144 \div 16} = \frac{4}{9}$.Thus,the ratio of the areas is $4:9$.

The ratio of the areas of the circles with radii $8 \, cm$ and $12 \, cm$ is $\ldots \ldots \ldots \ldots .$

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