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Homework Help: Geometry: I want to understand some points

  1. Jul 28, 2005 #1
    What is my unknown (say x) if I am finding the value in which an arc of a great circle 10 units long recedes from its chord? (given radius R and angle alpha?)

    Here's my figure as an attachment...

    Attached Files:

  2. jcsd
  3. Jul 28, 2005 #2


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    I am guessing, you can express R = xR + (1-x)R where (1-x)R is the height of your (isosceles) triangle and xR is the bit from the chord to the circle.
    Last edited: Jul 28, 2005
  4. Jul 28, 2005 #3


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    What do you mean by "recedes from its chord"?
  5. Jul 28, 2005 #4
    HallsofIvy, seems like the arc is moving away from its respected chord (form by the two enddpoints of the arc)

    My friend told me that x = R - R cos (alpha)... I wonder why....
  6. Jul 28, 2005 #5


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    He has given the greatest distance between the arc and the chord i.e. the difference of the radius and distance of the chord from the center
  7. Jul 30, 2005 #6
    Last edited by a moderator: Apr 21, 2017
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