About 40,000 people live in a circular region with a 10-mile radius. Find the population density in people per square mile.Responsesabout 127 people per square mileabout 127 people per square mileabout 637 people per square mileabout 637 people per square mileabout 2000 people per square mileabout 2000 people per square mileabout 6366 people per square mile
Question
About 40,000 people live in a circular region with a 10-mile radius. Find the population density in people per square mile.Responsesabout 127 people per square mileabout 127 people per square mileabout 637 people per square mileabout 637 people per square mileabout 2000 people per square mileabout 2000 people per square mileabout 6366 people per square mile
Solution
To find the population density, we first need to find the area of the region. The formula for the area of a circle is πr², where r is the radius of the circle.
Step 1: Find the area of the region The radius of the region is 10 miles. So, the area of the region is π(10)² = 100π square miles.
Step 2: Find the population density The population density is the population divided by the area. So, the population density is 40,000 people / 100π square miles ≈ 127 people per square mile.
So, the population density in the region is about 127 people per square mile.
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