geometry

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find the area of one segment formed by a square with sides of 6" inscribed in a circle.

  • geometry -

    Area of square = 6² in² = 36 in²

    radius of circle
    r = (1/2)square diagonal
    = (1/2)√(6²+6²)
    = (1/2)√(72)
    = √(18)

    Area of circle = πr²
    = 18π

    Area of one of the 4 sectments
    = (Area of circle - area of square)/4

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