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A hexagon is inscribed in a circle of ra...

A hexagon is inscribed in a circle of radius r. Two of its sides have length 1, two have length 2 and the last two have length 3. Prove that r is a root of the equation `2r^(3) -7r-3=0.`

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Knowledge Check

  • A circle of radius r cm has a diameter of length

    A
    fixed length
    B
    infinite length
    C
    0 length
    D
    none of these
  • A circle of radius r cm has a diameter of length

    A
    r cm
    B
    2r cm
    C
    `r/2` cm
    D
    none of these
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