document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1041771>Question 1041771</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the circle passing through the points (1 -2), (5 4) and (10 5) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #656698 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39630)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=656698\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Think about the circle containing those three points, and that the three points form a triangle.  The perpendicular bisectors of the three segments will intersect in the CENTER of the circle.  Can you find this center point?\r<BR>\n" );
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document.write( "Now, use this center point; and pick ANY point on the circle.  Use the Distance Formula to find the size of the circle's radius.\r<BR>\n" );
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document.write( "Next, just put the needed values into the standard form equation for a circle.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > with center (h,k) and radius r. </SPAN>\n" );
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