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

what will be the area of the new circle?

The area of the new circle is

Step-by-step 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

In this problem we have

----> the scale factor

The area of the original circle is equal to

substitute and solve for x

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

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get

step-by-step explanation:

the shape,the size and the distance