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Math

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a square in a circle with a radius of 2 pi .What is the perimeter of the square?

  • Math -

    radius = 2pi, so diameter = 4pi

    circle diameter is the length of the side of the square.

    perimeter = 4*4pi = 16pi

  • Math -

    Isn't the diagonal of the square the same as the diameter of the circle?

    http://flowers4u.files.wordpress.com/2009/10/square-within-circle-fig-10-gt.jpg

  • Math -

    So the diagonal of the square is 4π
    let each side of square be x
    x^2 + x^2 = 16π^2
    2x^2 = 16π^2
    x^2 = 8π^2
    x = π√8

    4x = 4π√8
    = 8√2 π

  • Math - ouch -

    Ms Sue, you are correct. Nice save for you and Reiny.

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