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April 12th, 2013, 11:54 AM  #1 
Newbie Joined: Apr 2013 Posts: 2 Thanks: 0  Finding a point on a circle.
I am trying to get a point on a circle (point C) and all I know is the center point of the circle A (let's say at 0,0), the radius (20), and a point outside of the circle B (let's say at 46,53). How would I go about finding point C?

April 12th, 2013, 01:29 PM  #2 
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: Finding a point on a circle.
Is C the point on segment AB that is on the circle?

April 12th, 2013, 01:39 PM  #3 
Newbie Joined: Apr 2013 Posts: 2 Thanks: 0  Re: Finding a point on a circle.
Yes, that is correct.

April 12th, 2013, 01:50 PM  #4  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 408  Re: Finding a point on a circle. Hello, nickqqqq1! Quote:
Code:  B * * * o (46,53) *  * * *  o C *  * *  * *  * *   *     o     *   * A  *  *  * [color=beige]. . . . . . . . . . . . . . [/color]  
April 12th, 2013, 02:56 PM  #5 
Global Moderator Joined: Dec 2006 Posts: 20,919 Thanks: 2201 
By Pythagoras, AB has length whereas AC has length 20. The coordinates of C are obtained from those of B by multiplying by AC/AB, which is 

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