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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. I got 1.4, but the answer is 2.5. Can anyone tell me how the rough steps? My brainly hurts .....

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frika

Answer:

2.5 km

Step-by-step explanation:

First, find the area 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 [tex]15,500 :775=20[/tex] square kilometers.

Now, let x kilometers be the radius of the circular region, then

[tex]A_{\text{circilar region}}=\pi r^2\\ \\20=\pi r^2\\ \\r^2=\dfrac{20}{\pi}\approx 6.366198\\ \\r=\sqrt{3.366198}\approx 2.523[/tex]

To the nearest tenth this is 2.5 km.

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