document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1084921>Question 1084921</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the center of a circle is at (4,2) and its radius is 5. find the length of the chord which is bisected at (2,-1).<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #699071 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=699071\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine the slope of the line from (4,2) to (2,-1).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%282-%28-1%29%29%2F%284-2%29=3%2F2 ALIGN=MIDDLE  ALT=\"m=%282-%28-1%29%29%2F%284-2%29=3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now determine the slope of the bisector since they're perpendicular,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B1%5D%2Am%5B2%5D=-1 ALIGN=MIDDLE  ALT=\"m%5B1%5D%2Am%5B2%5D=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F2%29m%5B2%5D=-1 ALIGN=MIDDLE  ALT=\"%283%2F2%29m%5B2%5D=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5B2%5D=-2%2F3 ALIGN=MIDDLE  ALT=\"m%5B2%5D=-2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Determine the equation of the line using the point and the slope,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-%28-1%29=%28-2%2F3%29%28x-2%29 ALIGN=MIDDLE  ALT=\"y-%28-1%29=%28-2%2F3%29%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B1=%282%2F3%29x%2B4%2F3 ALIGN=MIDDLE  ALT=\"y%2B1=%282%2F3%29x%2B4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%282%2F3%29x%2B1%2F3 ALIGN=MIDDLE  ALT=\"y=-%282%2F3%29x%2B1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=Fombitz&illustration_name=CD25.JPG\">.<BR>\n" );
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document.write( "Now find the intersection of that line with the circle.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-4%29%5E2%2B%28%281-2x%29%2F3-2%29%5E2=25 ALIGN=MIDDLE  ALT=\"%28x-4%29%5E2%2B%28%281-2x%29%2F3-2%29%5E2=25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-8x%2B16%2B%284x%5E2%2B20x%2B25%29%2F9=25 ALIGN=MIDDLE  ALT=\"x%5E2-8x%2B16%2B%284x%5E2%2B20x%2B25%29%2F9=25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2-72x%2B144%2B4x%5E2%2B20x%2B25=225 ALIGN=MIDDLE  ALT=\"9x%5E2-72x%2B144%2B4x%5E2%2B20x%2B25=225\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13x%5E2-52x%2B169=225 ALIGN=MIDDLE  ALT=\"13x%5E2-52x%2B169=225\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%28x%5E2-4x%2B13%29=225 ALIGN=MIDDLE  ALT=\"13%28x%5E2-4x%2B13%29=225\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4x%2B13=225%2F13 ALIGN=MIDDLE  ALT=\"x%5E2-4x%2B13=225%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-4x%2B4%29%2B9=225%2F13 ALIGN=MIDDLE  ALT=\"%28x%5E2-4x%2B4%29%2B9=225%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2=225%2F13-117%2F13 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2=225%2F13-117%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2=108%2F13 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2=108%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2=0+%2B-+sqrt%28108%2F13%29 ALIGN=MIDDLE  ALT=\"x-2=0+%2B-+sqrt%28108%2F13%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2+%2B-+sqrt%28108%2F13%29 ALIGN=MIDDLE  ALT=\"x=2+%2B-+sqrt%28108%2F13%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2+%2B-+%286%2F13%29sqrt%2839%29 ALIGN=MIDDLE  ALT=\"x=2+%2B-+%286%2F13%29sqrt%2839%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=Fombitz&illustration_name=CD26.JPG\">.<BR>\n" );
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document.write( "So then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-1+%2B-+%284%2F13%29sqrt%2839%29 ALIGN=MIDDLE  ALT=\"y=-1+%2B-+%284%2F13%29sqrt%2839%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Finally calculate the distance from the two intersection points using the distance formula, that's the length of the chord.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E2=%28+2%2B%286%2F13%29sqrt%2839%29-%282-%286%2F13%29sqrt%2839%29%29+%29%5E2%2B%28+-1%2B%284%2F13%29sqrt%2839%29%29-%28-1-%284%2F13%29sqrt%2839%29+%29%5E2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E2=432%2F13+%2B192%2F13 ALIGN=MIDDLE  ALT=\"D%5E2=432%2F13+%2B192%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E2=624%2F13 ALIGN=MIDDLE  ALT=\"D%5E2=624%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E2=48 ALIGN=MIDDLE  ALT=\"D%5E2=48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D=sqrt%2848%29 ALIGN=MIDDLE  ALT=\"D=sqrt%2848%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D=4sqrt%283%29 ALIGN=MIDDLE  ALT=\"D=4sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );