Given:
Population in circular region = 1.15 million
Population Density = 18075 people per square kilometer
Formula Used:
We need to make use of the below formula to find the area of circular region.
[tex] Area \; of \; Circular \; region \; = \; \frac{Population}{Density} [/tex]
Applying the concept:
Substituting the given information in the formula above we get...
[tex] Area \; of \; circular \; region \; = \; \frac{1.15 \times 10^6}{18075} \\\\Area= \frac{1150000}{18075} \approx 63.6 \; km^2 [/tex]
[tex] To \; find \; radius \; of \; circle \; with \; area \; 63.6 \; square \; kilometer:\\\\Area \; of \; circle \; = \;\pi r^2\\\\\pi r^2=63.6\\\\r^2= \frac{63.6}{\pi} \\\\r^2=20.25\\\\r= \sqrt{20.25} \\\\ r \approx \; 4.5 \; km [/tex]
Conclusion:
The radius of the circular region rounded to the nearest tenth is 4.5 km.
