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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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?

Similar Questions

The perimeter of an isosceles right-angled triangle is $2p \, cm$. Its area is

The circumference of a circular field is $440 \, m$. $A$ circular path of $10 \, m$ width runs around the outside of the field. Find the cost of gravelling the path at the rate of $70 \, \text{paise}$ per square metre? (in $Rs.$)

The radius of a wheel is $0.25\, m$. The number of revolutions it will make to travel a distance of $11\, km$ will be

If the ratio of the areas of two squares is $9: 1$,then the ratio of their perimeters is

The least number of square slabs that can be fitted in a room of $10.5 \text{ m}$ long and $3 \text{ m}$ wide is........?

Vedclass Test Series

Exam Paper Generator

Online Exam Module