about 12400 people live in one-fourth of a region with a 12-mile radius. what is the most reasonable estimate for the population density in people per SQ mile
4134/mile or 344/mile ?
Use a calculator
A region with a 12 mile radius will have an area of pi (12)^2 = 144pi sq miles.....so....1/4 of this =
36 pi square miles
Then.......the population density of this area = 12400 / [ 36 pi ] ≈ 109.6 people per square mile