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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?

Respuesta :

abidemiokin

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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