Answer:
Step-by-step explanation:
The best estimation of the total number of people at the concert is the quotient between the total area of the arena, and the area that each person occupies.
So, we need to find the area of each person.
We know that each person took up a circular space with a diameter of 0.9m. The radio would be
[tex]r=\frac{d}{2}=\frac{0.9}{2}m=0.45m[/tex]
And the circular are would be
[tex]A_{person}=\pi r^{2}= 3.14(0.45m)^{2} =0.64m^{2}[/tex]
Now, we divide the area of the arena by the area per person
[tex]n=\frac{A_{arena} }{A_{person} }=\frac{16200m^{2} }{0.64m^{2} } \approx 25312[/tex]
Where [tex]n[/tex] represents the number of people at the concert.
Therefore, the nearest estimation is D. 25,000 people are at the concert.
