All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes > Geometry
Strike a Chord (..Any Chord) (Posted on 2003-10-09) Difficulty: 4 of 5
What is the probability that a randomly drawn chord will be longer than the radius of the circle?

Prove it.

No Solution Yet Submitted by DJ    
Rating: 4.5263 (19 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re: I'm no mathemetician: | Comment 35 of 51 |
(In reply to I'm no mathemetician: by Benjamin J. Ladd)

I actually (after thinking about it) think that this is a safe way of determining the probability. If you take a point at random in the circle you can always form a chord out of that line such that the radius runs perpendicular through the point. Because every chord formed in a circle can be represented in such fashion by such points (only one point necessary), the area that was presented in my proof should account for the infinite amount of chords (and chords) that can be taken at random.
  Posted by Benjamin J. Ladd on 2003-11-16 12:31:20

Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information