Option D:
Scale factor of the smaller circle to the larger circle = 3 : 5
Solution:
Given the two circles are similar.
Radius of the smaller circle = 3
Radius of the larger circle = 3 + 2 = 5
Let us find the scale factor for the two similar circles.
[tex]$\text { Scale factor }=\frac{\text {Radius of the smaller circle}}{\text {Radius of the larger circle}}[/tex]
[tex]$=\frac{3}{5}[/tex]
Scale factor of the smaller circle to the larger circle = 3 : 5
Option D is the correct answer.
Hence scale factor of the smaller circle to the larger circle = 3 : 5
