Correct option is: (B) 39π
Area of bigger circle is R = AC = 8 cm.
and area of smaller circle is r = AC-AB
= 8-3 = 5 cm.
\(\therefore\) Area of shaded region = Area of bigger circle - Area of smaller circle.
= \(\pi R^2 - \pi r^2 = \pi (R^2 -r^2)\)
= \((8^2-5^2) \pi = (64-25) \pi = 39 \pi \, cm^2\).