Answer:
5747 people/mi²
Step-by-step explanation:
You want the population density if 650,000 people live in a circular region of radius 6 miles.
The population density is the ratio of people to square miles. The area is given by the formula ...
A = πr²
A = π(6 mi)² = 36π mi²
Then the density is ...
(650000 people)/(36π mi²) ≈ 5747 people/mi²
The population density is about 5747 people per square mile.