document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1057344>Question 1057344</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the circle whose diameter has endpoints (-1,4) and (4,2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #672401 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=672401\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The general form of a circle with center at (h,k) is:<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;\" > \r<BR>\n" );
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document.write( "So we need to find the center and the radius.\r<BR>\n" );
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document.write( "If the endpoints of the diameter are (-1,4) and (4,2) then the center is at<BR>\n" );
document.write( "the midpoint of those:  ( (-1+4)/2, (4+2)/2 ) or (3/2, 3)\r<BR>\n" );
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document.write( "The radius is just half the diameter:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F2%29sqrt%28%28-1-4%29%5E2+%2B+%284-2%29%5E2%29+ ALIGN=MIDDLE  ALT=\"+%281%2F2%29sqrt%28%28-1-4%29%5E2+%2B+%284-2%29%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F2%29sqrt%2825+%2B+4%29+ ALIGN=MIDDLE  ALT=\"+%281%2F2%29sqrt%2825+%2B+4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%2829%29%2F2+ ALIGN=MIDDLE  ALT=\"+sqrt%2829%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the equation of the circle is:\r<BR>\n" );
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document.write( "         <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++%28x-3%2F2%29%5E2+%2B++%28y-3%29%5E2++=++%2829%2F4%29+ ALIGN=MIDDLE  ALT=\"++%28x-3%2F2%29%5E2+%2B++%28y-3%29%5E2++=++%2829%2F4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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