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April 12th, 2013, 12:54 PM   #1
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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?
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April 12th, 2013, 02:29 PM   #2
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Re: Finding a point on a circle.

Is C the point on segment AB that is on the circle?
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April 12th, 2013, 02:39 PM   #3
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Re: Finding a point on a circle.

Yes, that is correct.
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April 12th, 2013, 02:50 PM   #4
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Re: Finding a point on a circle.

Hello, nickqqqq1!

Quote:
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?



Code:
                |             B
              * * *         o (46,53)
          *     |     *   *
        *       |       o C
       *        |     *  *
                |   *
      *         | *       *
  - - * - - - - o - - - - * - -
      *       A |         *
                |
       *        |        *






[color=beige]. . . . . . . . . . . . . . [/color]






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April 12th, 2013, 03:56 PM   #5
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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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