Question

please help me answer this question

Answer 1

The area of the shaded region will be the area of the square minus the area of the circle, therefore:

The area of the circle is:

$\begin{gathered} A_c=\pi r^2 \\ where\colon \\ r=\frac{4}{2}=2 \\ so\colon \\ A_c=\pi(2^2^{}) \\ A_c=4\pi \end{gathered}$

The area of the square is:

$\begin{gathered} A_s=l^2 \\ where\colon \\ l=4 \\ A_s=4^2 \\ A_s=16 \end{gathered}$

Therefore:

$\begin{gathered} A=A_s-A_c \\ A=16-4\pi \\ A\approx3.44cm^2 \end{gathered}$