Answer:
The ratio between the radii of circles A and B is equal to [tex]\frac{4}{3}[/tex] and this ratio represent the scale factor
Step-by-step explanation:
Let
x -----> the radius of circle A
y -----> the radius of circle B
z -----> the ratio between the radii of circles A and B
so
[tex]z=\frac{x}{y}[/tex]
we know that
[tex]x=4\ units[/tex] ----> radius of circle A
[tex]y=3\ units[/tex] ----> radius of circle B
Find the ratio z
[tex]z=\frac{4}{3}[/tex]
The ratio represent the scale factor of the dilation of radius of circle B to obtain the radius of circle A
Circles A and B are similar, because A translation, followed by a dilation will map one circle onto the other