By definition, the area of a circle is given by:
[tex] A =\pi r^2 [/tex]
Where,
r: radius of the circle
Then, the density of the population is given by:
[tex] D =\frac{n}{\pi r^2}[/tex]
Where,
n: number of people
Substituting values we have:
[tex] D =\frac{370000}{\pi (5000000)^2} [/tex]
Rewriting:
[tex] D = 4.71*10^{-9} [/tex]
Answer:
the population density in people per square mile is:
[tex] D = 4.71*10^{-9} [/tex]
