Question

The circle will be enlarged by a scale factor of 4.

What will be the area of the new circle?

Answer 1

144 pi square inches

Explanation:

Person above me is correct. Have a good day! Good Luck on your exam!

Answer 2

The area of the new circle is
`144 \pi\ in^(2)`

Explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z-----> the scale factor

x-----> the area of the enlarged circle

y-----> the area of the original circle

so

`z^(2) =(x)/(y)`

In this problem we have

`z=4` ----> the scale factor

The area of the original circle is equal to

`y=\pi r^(2)=\pi (3^(2))=9\pi\ in^(2)`

substitute and solve for x

`4^(2) =(x)/(9\pi)`

`x=16*9 \pi=144 \pi\ in^(2)`

The area of the enlarged circle is
`16` times the area of the original circle