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

Home > Shapes
Covering A Circle (Posted on 2005-10-21) Difficulty: 3 of 5
A circle of unit radius is completely covered by three identical squares. What is the smallest size of the squares?

See The Solution Submitted by Brian Smith    
Rating: 3.3333 (6 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution - possibly | Comment 10 of 11 |

  1. Draw a circle of 1 unit radius

  2. Draw an equilateral triangle to fit said circle and name points A B C

  3. Draw 3 squares the same dimension and allowing one side to touch AB,BC and CA respectively

  4. "Slide" the squares in their original aspect so that side AB, side BC and side CA touch the centre of the circle.

  5. The corresponding length of each square will 1.618 units in length.

  6.   Posted by Jerry on 2005-10-24 11:29:12
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 (4)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

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