The circle will be enlarged by a scale factor of 4.
3 in.
what will be the area of the new circle?
o
o
121 square inches
361 square inches
1241 square inches
1441 square inches

The area of the new circle is  

Step-by-step explanation:

Given:

radius of the circle = 3 in.

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

Now substituting value of y and solve for x we get;

Hence Area of the new Circle is

Also The area of the enlarged circle is 16 times the area of the original circle.