Question

How will the area of the circle change if it is dilated by a scale factor of 1/2? The area will be 2 times greater than the original. The area will be 4 times greater than the original. The area will be 1/4 the original. The area will be 1/2 the original.

Answer 1

We know that

[scale factor]=1/2
[dilated area of circle]=[original area of circle]*[scale factor]²
so
[dilated area of circle]=[original area of circle]*[1/2]²
[dilated area of circle]=[original area of circle]*[1/4]

therefore

the answer is
The area will be 1/4 the original

Answer 2

The area will be 1/4 the original.

Is the CORRECT answer^^^^^