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…

Question

asked Jan 21, 2022 62.1k views

2 Answers

Haris Hajdarevic · Answer 1 · 2022-01-24T07:01:48+0000

Answer:

1,130,400 people

Explanation:

Find the area of the broadcasting area, using the circle area formula.

Since the diameter is 120 miles, the radius will be 60 miles.

Use the circle area formula, plug in 60 as r, and plug in 3.14 as pi:

A =
$\pi$ r²

A = (3.14)(60²)

A = 11304

So, the area is 11304 square miles

To find how many people are in receiving distance, multiply this by 100, since there are 100 people per square mile.

11304(100)

= 1,130,400

So, 1,130,400 people are within receiving distance of the signal.