Question

a radio station broadcasts a signal over an area with a 120-mile diameter. the population density of the area is 100 people per square mile.
how many people are within receiving distance of the broadcast signal?
use 3.14 for pi.
select from the drop-down menu to correctly complete the statement.
there are about choose... people within broadcast distance of the radio station.

Explanation:

Step1: Find radius of broadcast area

The diameter is 120 miles, so radius $r = \frac{120}{2} = 60$ miles.

Step2: Calculate broadcast area (circle)

Area formula: $A = \pi r^2$. Substitute values:
$A = 3.14 \times 60^2 = 3.14 \times 3600 = 11304$ square miles.

Step3: Calculate total population

Multiply area by density:
$\text{Population} = 11304 \times 100$

Answer:

1130400