Results 1 to 4 of 4
  1. #1
    Bronze Lounger
    Join Date
    Jan 2001
    Location
    La Jolla, CA
    Posts
    1,469
    Thanks
    30
    Thanked 61 Times in 57 Posts

    Shortest Distance

    (Maud, better jump in early).

    A semicircle has a radius of r centimeters. A chord (not the diameter) is parallel to the diameter.
    If the length of the chord is 2/3 the length of the diameter, what is the shortest distance from the chord to the diameter in terms of r?

  2. #2
    Super Moderator
    Join Date
    May 2002
    Location
    Canberra, Australian Capital Territory, Australia
    Posts
    5,054
    Thanks
    2
    Thanked 417 Times in 346 Posts
    Quote Originally Posted by kweaver View Post
    If the length of the chord is 2/3 the length of the diameter, what is the shortest distance from the chord to the diameter in terms of r?
    The same as the maximum distance from the chord to the diameter in terms of r!
    Cheers,

    Paul Edstein
    [MS MVP - Word]

  3. #3
    Star Lounger
    Join Date
    Jul 2013
    Location
    Murphy, NC
    Posts
    64
    Thanks
    0
    Thanked 8 Times in 8 Posts
    The line segment from the midpoint of the diameter to the midpoint of the chord forms one leg of a right triangle whose other leg goes from the midpoint of the chord to one end of the chord and whose hypotenuse is r centimeters. I believe that the length of the former leg would be the square root of (r**2 - (2/3r)**2), or r/3 times the square root of 5, centimeters.
    Last edited by DavidHLevin; 2015-12-10 at 09:41.

  4. #4
    Bronze Lounger
    Join Date
    Jan 2001
    Location
    La Jolla, CA
    Posts
    1,469
    Thanks
    30
    Thanked 61 Times in 57 Posts
    Perfect, DavidHLevin

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •