document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182839>Question 1182839</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two parallel chords of length 24cm and 10cm which lie on opposite sides of a circle are 17cm apart.   Calulate the radius of the circle to the nearest wholenumber. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #812941 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=812941\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "Let, radius of the circle be<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r ALIGN=MIDDLE  ALT=\"r\"   DISABLED_style= \"max-width:90%; height:auto;\" > cm.\r<BR>\n" );
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document.write( "Suppose, the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" > cm long chord is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > cm away from the center.\r<BR>\n" );
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document.write( "Thus, the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24 ALIGN=MIDDLE  ALT=\"24\"   DISABLED_style= \"max-width:90%; height:auto;\" > cm long chord should be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2817+-+x%29 ALIGN=MIDDLE  ALT=\"%2817+-+x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > cm away from the center.\r<BR>\n" );
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document.write( "We know, perpendicular drawn from center on any chord bisects the latter.\r<BR>\n" );
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document.write( "Thus,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5E2+=+x%5E2+%2B+%2810%2F2%29%5E2+=+x%5E2+%2B+5%5E2 ALIGN=MIDDLE  ALT=\"+r%5E2+=+x%5E2+%2B+%2810%2F2%29%5E2+=+x%5E2+%2B+5%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5E2+=+%2817+-+x%29%5E2+%2B+%2824%2F2%29%5E2+=+%2817+-+x%29%5E2+%2B+12%5E2 ALIGN=MIDDLE  ALT=\"+r%5E2+=+%2817+-+x%29%5E2+%2B+%2824%2F2%29%5E2+=+%2817+-+x%29%5E2+%2B+12%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Thus,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+5%5E2+=+%2817+-+x%29%5E2+%2B+12%5E2 ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+5%5E2+=+%2817+-+x%29%5E2+%2B+12%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+-+%2817+-+x%29%5E2+=+12%5E2+-+5%5E2 ALIGN=MIDDLE  ALT=\"+x%5E2+-+%2817+-+x%29%5E2+=+12%5E2+-+5%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17+%2A+%282x+-+17%29+=+17+%2A+7 ALIGN=MIDDLE  ALT=\"17+%2A+%282x+-+17%29+=+17+%2A+7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282x+-+17%29+=+7 ALIGN=MIDDLE  ALT=\"+%282x+-+17%29+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+=+24 ALIGN=MIDDLE  ALT=\"2x+=+24\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+12 ALIGN=MIDDLE  ALT=\"x+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So, \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2+=+12%5E2+%2B+5%5E2+=+144+%2B+25+=+169 ALIGN=MIDDLE  ALT=\"r%5E2+=+12%5E2+%2B+5%5E2+=+144+%2B+25+=+169\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r+=+13 ALIGN=MIDDLE  ALT=\"+r+=+13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The answer is: the radius of the circle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13 ALIGN=MIDDLE  ALT=\"13\"   DISABLED_style= \"max-width:90%; height:auto;\" > cm \r<BR>\n" );
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document.write( " </SPAN>\n" );
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