Respuesta :
Answer:
[tex] D =\frac{P}{\pi X^2}[/tex]
And solving for the radius we got:
[tex] X = \sqrt{\frac{P}{\pi D}}[/tex]
And replacing the data given we got:
[tex] X = \sqrt{\frac{480 \frac{people}{km^2}}{\pi *20000 people}}= 0.0874Km[/tex]
And this value converted to meters is [tex]X = 87.40 m[/tex]
Step-by-step explanation:
For this case we know the population size [tex] P = 20000[/tex] and we also know the population density [tex] D = 480 \frac{people}{km^2}[/tex]
We can assume that the area is a circle. We also know that the formula for the population density is given by:
[tex] D= \frac{P}{A}[/tex]
Where P represent the number of people and A the area. Since we are assuming a circle then the area is given by:
[tex] A = \pi X^2[/tex]
With X the radius of the circle
And then the populationd density become:
[tex] D =\frac{P}{\pi X^2}[/tex]
And solving for the radius we got:
[tex] X = \sqrt{\frac{P}{\pi D}}[/tex]
And replacing the data given we got:
[tex] X = \sqrt{\frac{480 \frac{people}{km^2}}{\pi *20000 people}}= 0.0874Km[/tex]
And this value converted to meters is [tex]X = 87.40 m[/tex]
