document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=936272>Question 936272</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a rectangle of largest area is cut out from a circle. what percent of area is lost as trimming </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #569709 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=569709\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The rectangle would be a square.  The diagonal of the square is a diameter of the circle.  One diagonal cuts the square into two 45-45-90 special triangles.\r<BR>\n" );
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document.write( "circle, area  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2 ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The diagonal and diameter, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2r ALIGN=MIDDLE  ALT=\"2r\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Let x be the side length of one side of the square.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx%5E2=%282r%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx%5E2=%282r%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and a picture would help you to see that.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2=4r%5E2 ALIGN=MIDDLE  ALT=\"2x%5E2=4r%5E2\"   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=2r%5E2 ALIGN=MIDDLE  ALT=\"x%5E2=2r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=r%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"x=r%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Area of the square:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2%2A2 ALIGN=MIDDLE  ALT=\"r%5E2%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and area of the circle was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2 ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Percentage?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28100%2A%282%2Fpi%29%29 ALIGN=MIDDLE  ALT=\"highlight%28100%2A%282%2Fpi%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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