Equal Area and Perimeter of a Square and a Circle? - November 7-11: On the way home from school, Bernard hauled a book out of his backpack and opened it up. "Check out this picture - there's this circle, and there's a square inscribed in the circle, and a square circumscribed around the circle. Then there's this square exactly between the other two. See how all the squares are straight up and down? The book says that a long time ago mathematicians believed that this last square, the one between the other two, has a perimeter equal to the circumference of the circle." "Really?" said Britte. "Yea," said Bernard. " And they also thought that the area of the square was equal to the area of the circle." "That's really cool! Have you tried to figure it out?" said Britte. "Not yet," said Bernard. "But I bet that either it's true or that the square and circle are related somehow." Correct solutions to the problem were submitted by: Annie Chan, Burnaby South Secondary School Sandra Duruisseau, Burnaby South Secondary School Jeff Pieper, College Park High School Michele Gibney,College Park High School Michelle Myers, Steel Valley High School Chad Williams, Steel Valley High School Next problem || Previous problem || Table of Contents || Forum Home Page