document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=16472>Question 16472</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am laying out a peice of furniture and wish to make a pattern.\r<BR>\n" );
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document.write( "I wish to know the radius of a circle that will subtend a cord of 30 \" with a height of 2 1/2\". \r<BR>\n" );
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document.write( "I am 73 and took geometry in 1947 - I seem to have forgotten the formulas.\r<BR>\n" );
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document.write( "Thanks,\r<BR>\n" );
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document.write( "Wyatt Shorter </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #8031 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=8031\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> HI Wyatt, here's a formula that could help solve your problem.  If you're interested, it came out of a math tables book (CRC Standard Mathematical Tables) which I have used since the early fifties in college.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+sqrt%284h%282R+-+h%29%29 ALIGN=MIDDLE  ALT=\"C+=+sqrt%284h%282R+-+h%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since you know C (the chord length) and h (the length of that part of the radius between the chord and the circumference), you can, with a little algebraic manipulation, solve for R, the radius.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C+=+sqrt%284h%282R+-+h%29%29 ALIGN=MIDDLE  ALT=\"C+=+sqrt%284h%282R+-+h%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Square both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5E2+=+4h%282R+-+h%29 ALIGN=MIDDLE  ALT=\"C%5E2+=+4h%282R+-+h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 4h.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5E2%2F4h+=+2R+-+h ALIGN=MIDDLE  ALT=\"C%5E2%2F4h+=+2R+-+h\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add h to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28C%5E2%2F4h%29+%2B+h+=+2R ALIGN=MIDDLE  ALT=\"%28C%5E2%2F4h%29+%2B+h+=+2R\"   DISABLED_style= \"max-width:90%; height:auto;\" > Finally, divide both sides by 2.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28C%5E2%2F4h%29+%2B+h%29%2F2+=+R ALIGN=MIDDLE  ALT=\"%28%28C%5E2%2F4h%29+%2B+h%29%2F2+=+R\"   DISABLED_style= \"max-width:90%; height:auto;\" > This can be simplified a bit.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R+=+%28C%5E2+%2B+4h%5E2%29%2F8h ALIGN=MIDDLE  ALT=\"R+=+%28C%5E2+%2B+4h%5E2%29%2F8h\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now let's plug in your values of C (30\") and h (2.5\") and grind away.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R+=+%2830%5E2+%2B+4%282.5%29%5E2%29%2F8%282.5%29 ALIGN=MIDDLE  ALT=\"R+=+%2830%5E2+%2B+4%282.5%29%5E2%29%2F8%282.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R+=+%28900+%2B+4%286.25%29%29%2F20 ALIGN=MIDDLE  ALT=\"R+=+%28900+%2B+4%286.25%29%29%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R+=+%28925%29%2F20 ALIGN=MIDDLE  ALT=\"R+=+%28925%29%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R+=+46.25 ALIGN=MIDDLE  ALT=\"R+=+46.25\"   DISABLED_style= \"max-width:90%; height:auto;\" > inches. </SPAN>\n" );
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