Densities of Metal, a world-famous rock band, put on a show at an arena in Rome last night. The rectangular floor of the arena had an area of
32
,
000
m
2
32,000 m
2
32, comma, 000, start text, space, m, end text, squared and was packed shoulder to shoulder with fans.
The band wants to know how many people were at last night's show. They estimate that, on average, each person takes up a circular space with a diameter of
0.8
m
0.8 m0, point, 8, start text, space, m, end text. Since the floor was packed, they assume these circular spaces were tightly packed together in rows and columns.
Estimate how many people were at Densities of Metal's rock show based on their assumptions.