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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.What is the population density of the manatees?

A marine biologist is researching the population density of manatees. The marine biologist-example-1
User Shaggie
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1 Answer

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17 votes

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:


d=(P)/(A)=(550)/(39.25)=14

Therefore the density is 14 manatees per square mile.

User Barryleajo
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