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24 October, 20:04

Circletown's limits form a perfectly circular shape, it has a population of 20,000 and a population density of 480 people per square kilometer. What is circle towns radius?

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Answers (2)
  1. 24 October, 20:23
    0
    The radius of the town is 3.641 km.

    Step-by-step explanation:

    The density of people in the city is given by the formula:

    density = number of people / area of the city

    Since the city is a perfect circle, it's area is given by:

    area of the city = pi*r²

    We have:

    480 = 20000/pi*r²

    480*pi*r² = 20000

    r² = 20000/480*pi

    r = sqrt (20000/480*pi) = 3.641

    The radius of the town is 3.641 km.
  2. 24 October, 20:28
    0
    3.64

    Step-by-step explanation:

    Round it to this if you are on khan academy
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