About 650,000 people live in a circular region with a 6-mile radius. Find the population density in people per square mile.

The population density is about
a
people per square mile.



Answer :

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.

Density

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.

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