Question

Solve. Use 3.14 for pi.
A radio station is allowed by the FCC to broadcast over an area with a radius of 217 mi. How much area is​ this?
Question content area bottom
Part 1
The area is
  
enter your response here misquared.
​(Simplify your answer. Type an integer or a decimal. Round to the nearest hundredth if​ needed.)

Answer 1

To find the area of a circle, we use the formula:

\[
A = \pi r^2
\]

where \( A \) is the area, \( r \) is the radius, and \( \pi \) is approximately 3.14.

Given that the radius \( r = 217 \) miles, we can plug in the values:

\[
A = 3.14 \times (217)^2
\]

First, calculate \( (217)^2 \):

\[
(217)^2 = 47089
\]

Now we can calculate the area:

\[
A = 3.14 \times 47089
\]

Now performing the multiplication:

\[
A \approx 3.14 \times 47089 \approx 147,1788.06
\]

Rounding to the nearest hundredth:

\[
A \approx 147,1788.06
\]

Thus, the area is approximately:

\[
\mathbf{147,1788.06} \text{ square miles.}
\]