Answer:
1380.25
Explanation:
So to solve this problem, you find the outside circle and subtract it from the inside circle.
So, lets find the basic values
Radius of inside circle = diameter of the inside circle / 2
 = 27.6
 = 13.8
Radius of outside part = 11.3
So the area of the outside circle is
A = pi r^2
 = pi (11.3 + 13.8)^2
 = 630.01
 = 1978.23
And the area of the inside circle is
A = pi r^2
 = pi (13.8)^2
 = 190.44
 = 597.98
To find the shaded part, we subtract the outer circle with the inner circle
1978.23 - 597.98 = 1380.25
The area of the shaded region is 1380.25