Given: The radius of the circular dart and the length of the shaded region
[tex]\begin{gathered} r_{\text{dartboard}}=12in \\ l_{\text{shaded region}}=4in \end{gathered}[/tex]
To Determine: The probability that the dart lands in the shaded square region
The area of the dartboard can be calculated by the formula of a circle
[tex]\begin{gathered} A_{\text{dartboard}}=\pi r^2 \\ \pi=3.14,r=12in \\ A_{\text{dartboard}}=3.14\times12^2=3.14\times144in^2=452.16in^2 \end{gathered}[/tex]
The area of the shaded region can be calculated by the area of a square
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