document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1125549>Question 1125549</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a 20 cm chord is 6 cm from a 10 cm chord. Find the radius of the circle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #741975 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=741975\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+drawing%28400%2C400%2C+-12%2C+12%2C+-12%2C+12%2C+grid%280%29%2C%0D%0A+++++++++++++++++++line%28-5%2C-9.2%2C+5%2C-9.2%29%2C%0D%0A+++++++++++++++line%28-10%2C-3.2%2C+10%2C-3.2%29%2C%0D%0A+++++++++++++++locate%28-11%2C-3.5%2C+%22A%22%29%2C%0D%0A++++++++++++++locate%28-6%2C-9.5%2C+%22B%22%29%2C%0D%0A++++++++++++++locate%280.3%2C1%2C+%22O%22%29%2C%0D%0A++++++++++++++green%28line%280%2C0%2C+-10%2C-3.2%29%29%2C%0D%0A++++++++++++++green%28line%280%2C0%2C+-5%2C-9.2%29%29%2C%0D%0A++++++++++++++locate%280.5%2C-6.1%2C+%22d=6%22%29%2C%0D%0A++++++++++++++locate%28-5%2C-3.4%2C+%2210%22%29%2C%0D%0A++++++++++++++locate%28-2.5%2C+-9.4%2C+%225%22%29%2C%0D%0A++++++++++++++locate%280.4%2C+-1.6%2C+%22k%22%29%2C%0D%0A++++++++++++++locate%28-6.2%2C+-0.8%2C+%22r%22%29%2C%0D%0A++++++++++++++locate%28-4.0%2C+-5.8%2C+%22r%22%29%2C%0D%0A++++++++++++++circle%280%2C0%2C10.515%29%0D%0A%0D%0A%29%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "From the figure (I tried to get it close to true-to-scale):\r<BR>\n" );
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document.write( "   (1)       <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5E2+=+10%5E2+%2B+k%5E2+ ALIGN=MIDDLE  ALT=\"+r%5E2+=+10%5E2+%2B+k%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "   (2)       <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5E2+=+5%5E2+%2B+%28k%2B6%29%5E2+ ALIGN=MIDDLE  ALT=\"+r%5E2+=+5%5E2+%2B+%28k%2B6%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "Setting these two equal and solving for k,   k = 13/4  —>  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28+r+=+sqrt%281769%29%2F4+%29+ ALIGN=MIDDLE  ALT=\"+highlight%28+r+=+sqrt%281769%29%2F4+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >cm  (approx 10.515cm)<br>\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "        (1)   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++10%5E2+%2B+%2813%2F4%29%5E2+=+100+%2B+%28169%2F16%29+=+%281600%2F16%29+%2B+%28169%2F16%29+=+1769%2F16+=++r%5E2+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >  (ok)<BR>\n" );
document.write( "        (2)  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++5%5E2+%2B+%28%2813%2F4%29+%2B+6%29%5E2+=+25+%2B+%28%2813%2B24%29%2F4%29%5E2+=+%28400%2F16%29+%2B+%2837%2F4%29%5E2+=+%28400+%2B+1369%29%2F16+=+1769%2F16+=+r%5E2+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >  (ok)\r<BR>\n" );
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document.write( "—————<BR>\n" );
document.write( "Although it is possible for some parallel chord problems to have a 2nd solution where the chords are on opposite sides of the circle's center, this problem does not have solution for that configuration.  <br>\r<BR>\n" );
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document.write( "  </SPAN>\n" );
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