Answer:
6789.465 square miles
Explanation:
Given that the diameter of the circle of broadcast range= 93 miles
[tex]\begin{gathered} \text{Radius}=\frac{\text{Diameter}}{2} \\ =\frac{93}{2} \\ =46.5\text{ miles} \end{gathered}[/tex]For a circle of radius r:
[tex]\begin{gathered} \text{Area}=\pi r^2 \\ \end{gathered}[/tex]Therefore, the area that is reached by the broadcast wave
[tex]\begin{gathered} =3.14\times46.5^2 \\ =6789.465\text{ square miles} \end{gathered}[/tex]