An anthropology graduate student measures the floor of a round hut and calculates that it has an area of 28.26 square yards. What is the flo

Question

An anthropology graduate student measures the floor of a round hut and calculates that it has an area of 28.26 square yards. What is the floor’s radius?

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Adalynn 2 weeks 2021-09-07T21:54:46+00:00 1 Answer 0

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    2021-09-07T21:56:02+00:00

    Answer: the floor’s radius is 3 yards.

    Step-by-step explanation:

    The floor of the hut is circular. The formula for determining the area of a circle is expressed as

    Area = πr²

    Where

    r represents the radius of the circular floor.

    π is a constant whose value is 3.14

    From the information given,

    Area of the floor = 28.26 square yards. Therefore

    3.14r² = 28.26

    Dividing both sides of the equation by 3.14, it becomes

    3.14r²/3.14 = 28.26/3.14

    r² = 9

    Taking square root of both sides of the equation, it becomes

    √r² = √9

    r = 3 yards

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