A circular region with a 4-mile radius has a population density of about 6366 people per square mile. Find the number of people who live in the region.
Question
A circular region with a 4-mile radius has a population density of about 6366 people per square mile. Find the number of people who live in the region.
Solution
Step 1: Calculate the area of the circular region. The formula for the area of a circle is πr², where r is the radius of the circle. In this case, the radius is 4 miles. So, the area of the region is π(4)² = 16π square miles.
Step 2: Multiply the area of the region by the population density to find the total population. The population density is 6366 people per square mile. So, the total population is 16π * 6366 = 100,530.964 people.
Since we can't have a fraction of a person, we'll round to the nearest whole number. So, approximately 100,531 people live in the region.
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