To find the radius of the circular region, we need to know its area. We can use the formula for the population density:
Population density = Population / Area
Rearranging the formula to solve for the area, we get:
Area = Population / Population density
Substituting the given values, we have:
Area = 360,000 / 1415 = 254.78 square miles
The formula for the area of a circle is:
Area = πr^2
Solving for the radius, we get:
r = √(Area / π)
Substituting the calculated area, we have:
r = √(254.78 / π) ≈ 9.02 miles
Therefore, the radius of the circular region is approximately 9.02 miles.