Question

A radio station sends out radio waves in all directions from a tower at the center of the circle of broadcast range. If the circle has a diameter of 93 mi, how large an area is reached? Use π = 3.14.

Answer 1

6789.465 square miles

Step-by-step explanation:

Given that the diameter of the circle of broadcast range= 93 miles

`\begin{gathered} \text{Radius}=\frac{\text{Diameter}}{2} \\ =(93)/(2) \\ =46.5\text{ miles} \end{gathered}`

For a circle of radius r:

`\begin{gathered} \text{Area}=\pi r^2 \\ \end{gathered}`

Therefore, the area that is reached by the broadcast wave

`\begin{gathered} =3.14*46.5^2 \\ =6789.465\text{ square miles} \end{gathered}`