The radius of a circle is multiplied by 1/4. which of the following describes the effect of this change on the area? i'm learning this kind of thing in my geometry class, but i don't quite understand it completely. .

Let's say we had a square that had a side length of 8 units.
The area would be 8*8 = 64 square units.

If we multiply each side of the square by 1/4, then we get (8)*(1/4) = 8/4 = 2. The side length is now 2. The area is going to be 2*2 = 4.

Compare the two areas: 64 and 4
The ratio is 4/64 = 1/16

It's no coincidence that 1/16 is the result of 1/4 squared. In other words, (1/4)^2 = 1/16

This idea applies to any 2D shape. It doesn't have to be a square. So the circle's new area will be 1/16 of the old area

New circle area = (1/16)*(old circle area)