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Circumference of a Square

Date: 05/13/2002 at 11:28:01
From: Sinomen Jackson
Subject: circumference of a square

A circle has a circumference C. Find, in terms of C, the perimeter 
of a square having the same area as the circle. This has got me 
totally stumped. Can't get anywhere with it.

Date: 05/13/2002 at 14:54:19
From: Doctor Ian
Subject: Re: circumference of a square

Hi Sinomen,

This is a multi-step problem. 

From the circumference of the circle, find the diameter.  From the 
diameter, find the radius.  From the radius, find the area. 

This is also the area of the square.  From the area, find the length 
of one side.  And from the length of one side, find the perimeter. 

Can you take it from here?

- Doctor Ian, The Math Forum
  http://mathforum.org/dr.math/

Associated Topics:
High School Conic Sections/Circles
High School Triangles and Other Polygons

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