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Posers and Puzzles

Posers and Puzzles

  1. 28 Apr '08 00:14
    There is a circle with a diameter of 2. What is the exact average (not in decimal form, but in fraction) of all possible distances between 2 randomly chosen points in the circle?

    You have a week. I suspect someone'll get it before then, but I don't know. It was difficult for me to solve.
  2. Standard member preachingforjesus
    Iron Pillar
    28 Apr '08 03:17
    4 / pi

    using mean value theorem of the integral

    I have no idea how to write it here
  3. 28 Apr '08 04:20
    Originally posted by preachingforjesus
    4 / pi

    using mean value theorem of the integral

    I have no idea how to write it here
    Here is how you would write and integral, with function f(x) of variable x and an interval of [a,b] of the line, the integral would show as this:

    int_a^b f(x),dx

    which would be equal to the area of a region in coordinate plane bounded by graph of f, the x-axis, and lines x = a and x = b, with areas below the x-axis being subtracted.

    Does that help with notation?