A homeowner wants to include a semicircular patio at the end of a square sandbox. She knows that the area of the semicircular patio is 25.12

Question

A homeowner wants to include a semicircular patio at the end of a square sandbox. She knows that the area of the semicircular patio is 25.12 cm. What is the length of the side of the square?

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MichaelMet 4 years 2021-07-21T22:34:01+00:00 1 Answers 31 views 0

Answers ( )

  1. Maris
    0
    2021-07-21T22:35:43+00:00
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    Answer:

    8cm

    Step-by-step explanation:

    First you must know that the diameter of the semi-circular patio is equal to the length of one side of the square

    Area of a semi circle = πr²/2

    25.12  = πr²

    25.12 = 3.14r²/2

    r² = 25.12(2)/3.14

    r² = 16

    r = √16

    r = 4

    Get the diameter

    d = 2r

    d =2(4)

    d = 8cm

    Hence the length of the side of the square is 8cm

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