document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1191484>Question 1191484</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three points; (0,0),(3,1) and (5,7) lie on a circle. Find the equation of the circle. ​ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #823261 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=823261\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Three points; A(0,0), B(3,1) and C(5,7) lie on a circle. Find the equation of the circle. ​<BR>\n" );
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document.write( "Step 1, find the equation of AB, then the equation of BC.<BR>\n" );
document.write( "Step 2, find the perpendicular bisectors of AB and BC.<BR>\n" );
document.write( "Step 3, find the intersection of the perp bisectors.  That's the center of the circle at (h,k).<BR>\n" );
document.write( "Step 4, find the distance from the center to any of the 3 points given, that's the radius, r.<BR>\n" );
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document.write( "Then <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;\" ><BR>\n" );
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document.write( "That's one way to do it.<BR>\n" );
document.write( "I would use matrices. </SPAN>\n" );
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