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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: 2,767 Thanks: 5 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 $\pi *r^2$ Somehow, this equals the circumference: $C= 2\pi *r$ So $\pi *r^2= 2\pi * r$ 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 ?r² = 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
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Re: Find radius of circle if its area equals its circumferen

Quote:
 Originally Posted by MarkFL If we allow for the degenerate case...!
...which we most certainly do... :@

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