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March 14th, 2011, 08:31 AM  #1 
Newbie Joined: Mar 2011 Posts: 4 Thanks: 0  Find radius of circle if its area equals its circumferen
Q: Find the radius of a circle if its area is equal to its circumference. It is damn difficult. Please help me solve this. 
March 14th, 2011, 08:42 AM  #2 
Global Moderator Joined: Nov 2009 From: Northwest Arkansas Posts: 2,766 Thanks: 4  Re: Find radius of circle if its area equals its circumferen
I might reword this a little (not just the strong language!)... "The area of a circle equals the circumference of (the same) circle" Now "the area of a circle" is just Somehow, this equals the circumference: So Pretty sure you can solve this! 
March 14th, 2011, 08:44 AM  #3 
Senior Member Joined: Mar 2011 From: Chicago, IL Posts: 214 Thanks: 77  Re: Find radius of circle if its area equals its circumferen
A=C ?*r*r=2*?*r r=2 
March 17th, 2011, 07:28 AM  #4 
Senior Member Joined: Apr 2007 Posts: 2,140 Thanks: 0 
?rē = 2?r ? and r ? r = 2 
March 17th, 2011, 09:28 AM  #5 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: Find radius of circle if its area equals its circumferen
If we allow for the degenerate case, then r = 0 also works! 
March 18th, 2011, 09:36 AM  #6  
Global Moderator Joined: Nov 2009 From: Northwest Arkansas Posts: 2,766 Thanks: 4  Re: Find radius of circle if its area equals its circumferen Quote:
 

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