Answer:
The probability is [tex]11.11\%[/tex] or [tex]1/9[/tex]
Step-by-step explanation:
we know that
To find the probability divide the area of the smaller circle by the area of the larger circle
so
The area of a circle is equal to
[tex]A=\pi r^{2}[/tex]
step 1
Find the area of the smaller circle
[tex]A=\pi (2)^{2}=4\pi\ in^{2}[/tex]
step 2
Find the area of the larger circle
[tex]A=\pi (6)^{2}=36\pi\ in^{2}[/tex]
step 3
Divide the area of the smaller circle by the area of the larger circle
[tex]4\pi\ in^{2}/36\pi\ in^{2}=1/9=11.11\%[/tex]
