document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=471487>Question 471487</A>: <I><SPAN STYLE=\"word-break: break-all;\"> show that the maximum area of a rectangle inscribed in a circle is a square </SPAN>\n" );
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document.write( "NOTE: A rectangle INSCRIBED in a circle is ALWAYS a SQUARE IF you have to get MAXIMUM area.\r<BR>\n" );
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document.write( "let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+B ALIGN=MIDDLE  ALT=\"+B\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C ALIGN=MIDDLE  ALT=\"+C\"   DISABLED_style= \"max-width:90%; height:auto;\" >,and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D ALIGN=MIDDLE  ALT=\"D\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the vertices of the square \r<BR>\n" );
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document.write( "the diagonals <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AC ALIGN=MIDDLE  ALT=\"AC\"   DISABLED_style= \"max-width:90%; height:auto;\" > and diagonal <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BD ALIGN=MIDDLE  ALT=\"BD\"   DISABLED_style= \"max-width:90%; height:auto;\" > will intersect at right angles so\r<BR>\n" );
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document.write( "the side of a square is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=+sqrt%28+r%5E2+%2B+r%5E2+%29=+sqrt%282+r%5E2%29 ALIGN=MIDDLE  ALT=\"A=+sqrt%28+r%5E2+%2B+r%5E2+%29=+sqrt%282+r%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "MAXIMUM area is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=sqrt%282+r%5E2%29%2Asqrt%282+r%5E2%29=%28+sqrt%282+r%5E2%29%29%5E2+=2+r%5E2 ALIGN=MIDDLE  ALT=\"A+=sqrt%282+r%5E2%29%2Asqrt%282+r%5E2%29=%28+sqrt%282+r%5E2%29%29%5E2+=2+r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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