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 64 mi, how large an area is reached? Usei3.14.

Answer 1

The area of a circle is calculated as follows:

$A=\pi\cdot\frac{D^2}{4}$

where D is the diameter of the circle.

Substituting with D = 64 mi, we get:

$\begin{gathered} A=3.14\cdot\frac{64^2}{4} \\ A=3.14\cdot\frac{4096^{}}{4} \\ A=3.14\cdot1024 \\ A=3215.36\text{ mi}^2 \end{gathered}$