A marine biologist is researching the population density of manatees. The marine biologist counts 550 manatees within a radius of 5 miles of a half circle off the crystal bay.Wh…

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asked Sep 10, 2023 159k views

1 Answer

Prashant Vhasure · Answer 1 · 2023-09-16T04:24:59+0000

In order to calculate the area of half a circle, we can use the formula below:

$A=(\pi r^2)/(2)$

If the radius is 5 miles, the area is:

$A=(3.14\cdot5^2)/(2)=39.25\text{ mi^^b2}$

Now, to find the population density, let's divide the population by the area:

Therefore the density is 14 manatees per square mile.