Answer:
radius is 4.5 km
Step-by-step explanation:
Given :
Total number of people living in the area = 1.15 million = 1150000
Population density = 18075 people per sq kilometer
To find:
Radius of region = ?
Solution:
Population density of a region is defined as the ratio of total population divided by the area of the region.
Area here is circular. Let the radius be = r
Area of circle is given as [tex]\pi r^2[/tex]
Formula:
[tex]Population\ Density = \dfrac{Total\ population}{\pi r^2}[/tex]
Putting the values:
[tex]18075 = \dfrac{1150000}{\pi r^2}\\\Rightarrow r^2 = \dfrac{1150000}{18075\pi }\\\Rightarrow r^2 = \dfrac{63.62}{\pi }\\\Rightarrow r^2 = 20.26\\\Rightarrow \bold{r=4.5\ km}[/tex]
Therefore, radius is 4.5 km.
