document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=749111>Question 749111</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the area of the largest rectangle that can be inscibed in the circle x^2 + y^2=a^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #455784 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=455784\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine the area of the largest rectangle that can be inscibed in the circle x^2 + y^2=a^2<BR>\n" );
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document.write( "By \"largest\" I assume you mean \"has the greatest area\".<BR>\n" );
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document.write( "That rectangle would be a square.<BR>\n" );
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document.write( "If the square fits inside, it's diagonal must be the<BR>\n" );
document.write( "diameter of the circle.<BR>\n" );
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document.write( "The diameter = 2*radius = 2*a<BR>\n" );
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document.write( "Letting the sides be \"x\" you get:<BR>\n" );
document.write( "x^2 + x^2 = (2a)^2<BR>\n" );
document.write( "2x ^2 = 4a^2<BR>\n" );
document.write( "x = a*sqrt(2)<BR>\n" );
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document.write( "So the area is x*x = (a*sqrt(2))^2 = 2a^2 sq. units<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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