Respuesta :
The radius of the region is 2.5 km.
What is the radius?
- A radius of a circle or sphere is any of the line segments from its center to its perimeter in classical geometry, and in more modern usage, it is also their length.
- The name is derived from the Latin radius, which means both rays and spoke of a chariot wheel.
To find the radius of the region:
- A circular region has a population of about 15,500 people.
- A population density of about 775 people per square kilometer.
So, there are 15,500 : 775 = 20 square kilometers.
Now, let x kilometers be the radius of the circular region, then
- Circular region = [tex]\pi[/tex]r²
- 20 = [tex]\pi[/tex]r²
- r² = 20/[tex]\pi[/tex] ≈ 6.366198
- r = √6.366198 ≈ 2.523
- To the nearest tenth, this is 2.5 km.
Therefore, the radius of the region is 2.5 km.
Know more about radius here:
https://brainly.com/question/24375372
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The complete question is given below:
A circular region has a population of about 15,500 people and a population density of about 775 people per square kilometer. Find the radius of the region. Round your answer to the nearest tenth.
