Given:
Radius of the dartboard is 12in.
Each side of the shaded region is 4in.
[tex]\begin{gathered} \text{Total area of the circle=}\pi(r^2) \\ =3.14\times12\times12 \\ =452.16in^2 \end{gathered}[/tex][tex]\begin{gathered} \text{Area of the shaded region=4}\times4 \\ =16in^2 \end{gathered}[/tex][tex]\begin{gathered} Probability\text{ that dart lands in the shaded region=}\frac{16}{452.16} \\ =0.04 \end{gathered}[/tex]
