document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207917>Question 1207917</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the area of the square in the figure.\r<BR>\n" );
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document.write( "Note:\r<BR>\n" );
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document.write( "1. A square lies inside a circle. \r<BR>\n" );
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document.write( "2. The square is shaded blue.\r<BR>\n" );
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document.write( "3. The circle is not shaded.\r<BR>\n" );
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document.write( "4. The equation given for the circle is x^2 + y^2 = 9.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #846051 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52921)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=846051\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Find the area of the square in the figure.\r<BR>\n" );
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document.write( "Note:\r<BR>\n" );
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document.write( "1. A square lies inside a circle. \r<BR>\n" );
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document.write( "2. The square is shaded blue.\r<BR>\n" );
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document.write( "3. The circle is not shaded.\r<BR>\n" );
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document.write( "4. The equation given for the circle is x^2 + y^2 = 9.<BR>\n" );
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document.write( "The problem is worded incorrectly and unprofessionally.\r<BR>\n" );
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document.write( "INCORRECTLY: &nbsp;it says &nbsp;\" a square lies inside a circle \", &nbsp;which is insufficient<BR>\n" );
document.write( "description to solve this problem.<BR>\n" );
document.write( "A correct description is to say &nbsp;\" a square is inscribed in the circle \".\r<BR>\n" );
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document.write( "UNPROFESSIONALLY: &nbsp;it requests to find the area of the square, &nbsp;but describes which part <BR>\n" );
document.write( "is shaded and which is not. &nbsp;In this problem, &nbsp;it is &nbsp;EXCESSIVE &nbsp;and is &nbsp;NOT &nbsp;NECESSARY.<BR>\n" );
document.write( "The shape, for which they request to find its area, &nbsp;is just defined above: &nbsp;it is the square inscribed in the circle.\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "                     <U>Solution</U>\r\n" );
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document.write( "From the given equation, the radius of the circle is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%289%29 ALIGN=MIDDLE  ALT=\"sqrt%289%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3 units.\r\n" );
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document.write( "Hence, the diameter of the circle is two times the radius, i.e. 2*3 = 6 units.\r\n" );
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document.write( "Thus, the diagonal of the square is 6 units.\r\n" );
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document.write( "Let x be the side length of the circle.  Then from Pythagoras\r\n" );
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document.write( "    x^2 + x^2 = 6^2,  i.e.  2x^2 = 36,  x^2 = 36/2 = 18.\r\n" );
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document.write( "But x^2 is the square area.\r\n" );
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document.write( "At this point, we just completed the solution and got the \r\n" );
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document.write( "<U>ANSWER</U>.  The area of the square is 18 square units.\r\n" );
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document.write( "Solved.\r<BR>\n" );
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