geometry

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how do i find the radius of the largest circle that can be cut from a square piece of paper with a diagonal of 20cm?

  • geometry -

    Diameter = Length of a side. = X.
    X^2 + X^2 = (Diag.)^2,
    2X^2 = (Diag.)^2 = (20)^2,
    2X^2 = 400,
    X^2 = 200,
    X = sqrt(200) = 14.14cm = Diameter.

    r = 14.14 / 2 = 7.07cm.

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