1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    EnumaElish

    User Avatar
    Science Advisor
    Homework Helper

    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

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    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

    mukundpa

    User Avatar
    Homework Helper

    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
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?