<u>Given</u>:
Given that the radius of the circle is 12 cm.
The length of the rectangle is 11 cm.
The width of the rectangle is 5 cm.
We need to determine the area of the shaded region.
<u>Area of the rectangle:</u>
The area of the rectangle can be determined using the formula,
Substituting the values, we have;
Thus, the area of the rectangle is 55 square cm.
<u>Area of the circle:</u>
The area of the circle can be determined using the formula,
Substituting r = 12, we have;
Thus, the area of the circle is 452.16 square cm.
<u>Area of the shaded region:</u>
The area of the shaded region can be determined by subtracting the area of the rectangle from the area of the circle.
Thus, we have;
Area = Area of the circle - Area of the rectangle.
Substituting the values, we have;
Thus, the area of the shaded region is 397.16 square cm.