Answer:
The shaded area = 64.43 cm^2.
Explanation:
To find the shaded area, we need to subtract the area of the circle from the area of the rectangle.
The area of the circle is given by the formula
A = πr^2,
where r is the radius.
A = π(2 cm)^2 = 12.57 cm^2
(rounded to the nearest hundredth)
The rectangle has dimensions of 7 cm by 11 cm, so its area is given by:
A = length x width
= 7 cm x 11 cm = 77 cm^2
To find the shaded area, we subtract the area of the circle from the area of the rectangle:
Shaded area = 77 cm^2 - 12.57 cm^2
= 64.43 cm^2
(rounded to the nearest hundredth)
Therefore, the shaded area is approximately 64.43 cm^2.