For this case we have that by definition, the area of a circle is given by:
[tex]A = \pi * r ^ 2[/tex]
Where:
r: It is the radius of the circle
Circle 1:
[tex]A_ {1} = \pi * (10) ^ 2 = 100 \pi \ in ^ 2[/tex]
Circle 2:
[tex]A_ {2} = \pi * (6)^2 = 36 \pi \ in ^ 2[/tex]
Thus, the area of the region bounded is given by:
[tex]A = 100 \pi-36 \pi = 64 \pi \ in ^ 2[/tex]
Answer:
[tex]64 \pi \ in ^ 2[/tex]
Option B