Students were packed shoulder to shoulder in a gym for a pep rally. The students were in a rectangular shaped area of 7,500 ft2.
If each student on average took up a circular space with a diameter of 2.5 ft, what is the best estimate for the number of students at the pep rally?
1 answer:
Answer: 1527
Step-by-step explanation:
Total Area = 7500 ft^2
Area covered by one student = Area of one circle
= π*r^2
r = radius of circle = 2.5/2 = 1.25 ft
Area covered by one student = π*1.25^2 = 4.91 ft^2
Number of students who can fit into total area = Total Area/Area covered by one student
Number of students who can fit into total area = 7500/4.91 = 1527.49
Hence the answer is 1527 students
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