document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=226045>Question 226045</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the equation of the circle of smallest radius that contains the points (1,4) and (-3,2) within or on its boundary?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #168447 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=168447\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the equation of the circle of smallest radius that contains the points (1,4) and (-3,2) within or on its boundary? <BR>\n" );
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document.write( "The smallest circle thru 2 points will have the 2 points diametrically opposite.<BR>\n" );
document.write( "The diameter will be the distance between the points, and the center will be the midpoint.<BR>\n" );
document.write( "Midpoint:<BR>\n" );
document.write( "find the average of x and y separately<BR>\n" );
document.write( "x: (1-3)/2 = -1<BR>\n" );
document.write( "y: (4+2)/2 = 3<BR>\n" );
document.write( "Center of circle at (-1,3)<BR>\n" );
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document.write( "The radius is the distance from the center to either point.<BR>\n" );
document.write( "r^2 = diffy^2 + diffx^2<BR>\n" );
document.write( "r^2 = 1 + 4 = 5<BR>\n" );
document.write( "Standard form for a circle centered at (h,k) with radius r is:<BR>\n" );
document.write( "(x-h)^2 + (y-k)^2 = r^2<BR>\n" );
document.write( "(x+1)^2 + (y-3)^2 = 5<BR>\n" );
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