Answer:
502.4 square inches
Step-by-step explanation:
To find the area of the shaded region, you first need to find the area of the smaller circle with diameter 12, and then subtract that from the area of the larger circle. Since the diameter of a circle is twice the radius, the radius of the smaller circle is 6, and its area is therefore:
The area of the larger circle, which has radius 6+8=14, is:
Subtracting the area of the smaller circle from his, you get an area of 502.4 square inches for the shaded area. Hope this helps!