If the radius of one circle is 12 times the r | vedclass

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(C) Let $r$ be the radius of the smaller circle.Then,the radius of the larger circle is $R = 12r$.The area of the smaller circle is $A_1 = \pi r^2$.Th

Vedclass · Accepted Answer

$144$

Vedclass · Answer

(C) Let $r$ be the radius of the smaller circle.Then,the radius of the larger circle is $R = 12r$.The area of the smaller circle is $A_1 = \pi r^2$.The area of the larger circle is $A_2 = \pi R^2 = \pi (12r)^2 = 144\pi r^2$.To find how many times the area of the larger circle contains the area of the smaller circle,we calculate the ratio:$\frac{A_2}{A_1} = \frac{144\pi r^2}{\pi r^2} = 144$.Therefore,the area of the larger circle is $144$ times the area of the smaller circle.

If the radius of one circle is $12$ times the radius of another,how many times does the area of the greater circle contain the area of the smaller circle?

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