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

Home > Shapes
Cutting Corners (Posted on 2003-11-20) Difficulty: 4 of 5
Suppose you have a circle that is perfectly inscribed in a rectangle.
A smaller rectangle is placed on top of the first one, such that one corner is on the edge of the circle and the opposite corner matches a corner of the larger rectangle.

If the smaller rectangle is twice as long as it is high, how many of them will fit into of the larger one (without overlapping, of course)?

See The Solution Submitted by DJ    
Rating: 3.6364 (11 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts please clarify | Comment 1 of 16
I don't understand what "a circle that is perfectly inscribed in a rectangle" means.

Does this mean it is completely inside the rectangle , is tangent to three of the sides, and has diameter equal to the shorter of the rectangle's two sides?

Also, what does "A smaller rectangle is placed on top of the first one" mean? What is the "edge of the circle"?

A picture would really help!

--- SK
  Posted by SilverKnight on 2003-11-20 15:09:31
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (5)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (0)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2020 by Animus Pactum Consulting. All rights reserved. Privacy Information