document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1042865>Question 1042865</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a circle of radius 5 units has its center in the first quadrant, touches the x-axis and the intercepts a chord of length 6 units on the y-axis. find the equation of this circle </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #657917 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=657917\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the center is at (h,k) and radius = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+ ALIGN=MIDDLE  ALT=\"+r+\"   DISABLED_style= \"max-width:90%; height:auto;\" > then<BR>\n" );
document.write( "the equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+x-h+%29%5E2+%2B+%28+y-k+%29%5E2+=+r%5E2+ ALIGN=MIDDLE  ALT=\"+%28+x-h+%29%5E2+%2B+%28+y-k+%29%5E2+=+r%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since it touches the x-axis, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+k+=+r+ ALIGN=MIDDLE  ALT=\"+k+=+r+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and it's given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+5+ ALIGN=MIDDLE  ALT=\"+r+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+x+-+h+%29%5E2+%2B+%28+y+-+5+%29%5E2+=+5%5E2+ ALIGN=MIDDLE  ALT=\"+%28+x+-+h+%29%5E2+%2B+%28+y+-+5+%29%5E2+=+5%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "If the radius bisects the chord on the y-axis, that<BR>\n" );
document.write( "radius is parallel to the x-axis. 1/2 of the chord = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+ ALIGN=MIDDLE  ALT=\"+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+5+ ALIGN=MIDDLE  ALT=\"+r+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  This forms a 3-4-5 right triangle, so the center<BR>\n" );
document.write( "of the circle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4+ ALIGN=MIDDLE  ALT=\"+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > units from the y-axis, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+h+=+4+ ALIGN=MIDDLE  ALT=\"+h+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now I have: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+x+-+4+%29%5E2+%2B+%28+y+-+5+%29%5E2+=+25+ ALIGN=MIDDLE  ALT=\"+%28+x+-+4+%29%5E2+%2B+%28+y+-+5+%29%5E2+=+25+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Here it is plotted:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-2%2C+12%2C+-2%2C+12%2C+sqrt%28+25+-+%28+x-4+%29%5E2+%29+%2B+5%2C+-sqrt%28+25+-+%28+x-4+%29%5E2+%29+%2B+5+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );