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26 December, 10:38

A square fits exactly inside a circle with all of its vertices being on the circumference of the circle.

The square has sides of lengths x cm

The area of the circle is 56cm^2

Give your answer to 3sf.

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Answers (1)
  1. 26 December, 10:55
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    The side of the square is 5.9 cm

    Step-by-step explanation:

    Area of the circle = 56 square cm

    Side of the square = x

    Area = π (r x r)

    56 = π (r x r)

    √17.83 = r

    r = 4.22 cm

    Diameter = 8.44cm

    The diameter is equal to the diagonal of the square.

    8.44 = x√2

    x = 8.44/√2

    = 5.9 cm

    The side of the square is 5.9 cm
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