Respuesta :

Answer:

78.5%

Explanation:

The square has a side length of 16 units.

[tex]\begin{gathered} \text{Area of the Square = }16^2 \\ =256\text{ square units} \end{gathered}[/tex]

The circle on the other hand has a radius of 8 units.

[tex]\begin{gathered} \text{Area of the circle}=\pi\times8^2 \\ =64\pi\text{ square units} \end{gathered}[/tex]

Thus, the probability that the dart hits a point in the circle is:

[tex]\begin{gathered} =\frac{\text{Area of the circle}}{\text{Totl Area of the Square}}=\frac{64\pi}{256} \\ =0.785 \\ =78.5\% \end{gathered}[/tex]