







The isoperimetric inequality 
20080421 

From Dutch: I'm searching for the proof that the sphere has the smallest volume of any figure and maximizes the volume of any figure. Answered by Chris Fisher. 





Isoperimetric area comparison 
20070617 

From michael: An equilateral triangle and a regular hexagon have equal perimeters. If the area of the triangle 10, what is the area of the hexagon? Answered by Stephen La Rocque. 





Isoperimetric quotients 
20060707 

From Jessica: How do you work out an algebraic equation for the IQ of an isosceles triangle. Answered by Penny Nom. 





The Isoperimetric Quotient 
20060207 

From Ceri: I am studying Isoperimetric Quotient as part of my mathematics course and have been told that the only shape with an I.Q of 1 is the circle but when I work out the I.Q of a million sided regular polygon, the answer always comes out as 1. My teacher insists it is the just the calculator rounding things up, but I have tried loads of calculators and it always comes out as 1. Can you solve my conundrum? Answered by Penny Nom. 





Isoperimetric quotients 
20020102 

From A student: I'm stuck on my GCSE Maths coursework, what do isoperimetric quotients measure? Answered by Penny Nom. 





The isoperimetric theorem 
20000224 

From Raj Bobal: How can you prove Mathematically that the maximum area enclosed by a given length is a circle? Answered by Chris Fisher. 

