My Math Forum NO idea how to do this Circle problem

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 July 18th, 2017, 01:10 AM #1 Newbie   Joined: Jul 2017 From: Australia Posts: 3 Thanks: 0 NO idea how to do this Circle problem Could I get some help with this question? The question just asks for the length of RS, which I don't know how to calculate. Help with solving the question would be greatly appreciated! Last edited by skipjack; July 18th, 2017 at 03:41 AM.
 July 18th, 2017, 03:43 AM #2 Senior Member   Joined: Oct 2009 Posts: 798 Thanks: 298 Do you get to use analytic geometry? I.e. equation of a circle? Or do you have to use purely synthetic means?
 July 18th, 2017, 03:48 AM #3 Global Moderator   Joined: Dec 2006 Posts: 20,747 Thanks: 2133 By symmetry, P has coordinates (6, 0). By Pythagoras, the radius of each circle is 5. Hence R has coordinates (1, 0) and S has coordinates (5, 0), and so RS = 4. Last edited by skipjack; July 18th, 2017 at 03:50 AM.
July 18th, 2017, 03:59 AM   #4
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Quote:
 Originally Posted by Micrm@ss Do you get to use analytic geometry? I.e. equation of a circle? Or do you have to use purely synthetic means?
I guess this was a stupid question when the original problem phrased things in terms of coordinates.

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