Answer:
The radius of circle B is 6 times greater than the radius of circle A
The area of circle B is 36 times greater than the area of circle A
Step-by-step explanation:
we have
Circle A
[tex]D=6\ cm[/tex]
The radius of circle A is
[tex]r=6/2=3\ cm[/tex] -----> the radius is half the diameter
Circle B
[tex]r=18\ cm[/tex]
Compare the radius of both circles
[tex]3\ cm< 18\ cm[/tex]
[tex]18=6(3)[/tex]
The radius of circle B is six times greater than the radius of circle A
Remember that , if two figures are similar, then the ratio of its areas is equal to the scale factor squared
All circles are similar
In this problem the scale factor is 6
so
[tex]6^{2}=36[/tex]
therefore
The area of circle B is 36 times greater than the area of circle A
