145k views
12 votes
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.

User Rocksyne
by
4.6k points

1 Answer

3 votes

Answer:

Step-by-step explanation:

Calculate the number of square miles if d = 120 miles

d = 120 miles

r = d/2

r = 120/2 miles

r = 60 miles

Area of radio station coverage. = pi * r * r

Area of radio station coverage = 3.14 * 60 * 60 = 11304 square miles.

1 square mile contains 100 people

11304 square miles contain x people

Set up a proportion

1 / 11304 = 100 / x Cross multiply

x = 100 * 11304 Combine

x = 11304 * 100

x = 1130400

That's the answer. You have to choose the correct reply.

User Nitesh Ranjan
by
4.2k points