document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=144164>Question 144164</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0866099654/algebrahomeworkh>Geometry; for enjoyment and challenge </A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of a circle with center (2,4) that passes through (1,7).   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #104940 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=104940\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation of a circle with center (2,4) that passes through (1,7).  <BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "The radius is the distance from the center to (1,7).<BR>\n" );
document.write( "d = sqrt[(7-4)^2 + (1-2)^2]<BR>\n" );
document.write( "d = sqrt[9 + 1]<BR>\n" );
document.write( "d = sqrt(10)<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "Form: (x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius<BR>\n" );
document.write( "(x-2)^2 + (y-4)^2 = 10<BR>\n" );
document.write( "===========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );