Evaluate the area of the shaded region in terms of π.

a. 8 - 4π

b. 16 - 4π

c. 16 - 2π

d. 2π- 16

b. The area of the shaded region is same to the area of the square minus the area of the two semicircles. The area of the square is s² or 42, which equals 16. The area of the two semicircles is same to the area of one circle. Area = πr² or π(2)2 or 4π. Thus, the area of the shaded region is 16 - 4π. If you select a, you determine the area of the square incorrectly as 8. If you select c, you used an incorrect formula for the 1/2 πr².