Chork's Puzzles

Welcome to Chork's Puzzles (Revived)! Feeling inspired to create my own puzzles again, I've decided to set new challenging puzzles to boggle you all once again! (:

To ask for hints, or to give the answer to a puzzle, post in the "comments" section at the bottom right hand corner of each puzzle! Solutions to a puzzle can be found on the solutions site, (:

Happy solving! (:

Saturday, September 30, 2006

Chork's Puzzle 31

Difficulty Rating: 6

Part 2 of the square-circle-triangle trilogy

Haven't had enough of squares circles and triangles? This is the 2nd of 3 puzzles featuring these three cool shapes!

Chork drew a square, a circle and an equiltateral triangle of equal perimeters. The square and triangle both intersect the circle but do not intersect each other (as shown in the figure below).

The shapes intersect in such a way that the area enclosed but the square only, the area enclosed by the circle only and the area enclosed by the triangle only are all equal. Given that the area of the INTERSECTION of the circle and the square is 2006,

What is the common perimeter of the 3 shapes?
If you know the answer, post it in the comments section of this post.


Post a Comment

<< Home