Answer
$(4-\pi)$ square units
Work Step by Step
The area of the shaded region is equal to the difference between the area of the square and the area the circle.
The area ($A_1$) of the square is given by the formula $A_1=s^2$ where $s$ is the sidelength of the square.
Substitute the value of $s$.
$A_1=(2)^2$
$A_1=4$ square units
The area $(A_2$) of the circle is given by the formula $A_2=\pi\left(\frac{d}{2}\right)^2$ where $d$ is the diameter.
Substitute the value of $d$.
$A_2=\pi\left(\frac{2}{2}\right)^2$
$A_2=\pi$ square units
Thus, the area of the shaded region is:
$A= $ Area of the square $-$ Area of the circle.
$A=A_1-A_2 $
$A=4-\pi $
Hence, the area of the shaded region is $(4-\pi)$ square units.
