document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=133356>Question 133356</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <a  rel=nofollow HREF=\"http://tinypic.com\" target=\"_blank\"><IMG STYLE=\"max-width:80%;\" src=\"http://i25.tinypic.com/2ue4aq9.jpg\" border=\"0\" alt=\"Image and video hosting by TinyPic\"></a><BR>\n" );
document.write( "Find the area of the shaded portion in terms of X.<BR>\n" );
document.write( "The 2 circles are semi circles because my drawing isn't that well.<BR>\n" );
document.write( "I know you have to subtract the area of the semi-circles from the area of the square. Please help with the rest! (: </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #97542 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=97542\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Is the length of the red line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x ALIGN=MIDDLE  ALT=\"2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > units? If it is, then this means that half of the length is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2F2=x ALIGN=MIDDLE  ALT=\"2x%2F2=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >. This also means that the radius of one of these circles is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now let's use the area of a circle formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=pi%2Ar%5E2 ALIGN=MIDDLE  ALT=\"A=pi%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=pi%2Ax%5E2 ALIGN=MIDDLE  ALT=\"A=pi%2Ax%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=x ALIGN=MIDDLE  ALT=\"r=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now divide this by 2 (since we're dealing with a semicircle)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%28pi%2Ax%5E2%29%2F2 ALIGN=MIDDLE  ALT=\"A=%28pi%2Ax%5E2%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply this answer by 2 (there are 2 semicircles)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=2%2A%28pi%2Ax%5E2%29%2F2=pi%2Ax%5E2 ALIGN=MIDDLE  ALT=\"A=2%2A%28pi%2Ax%5E2%29%2F2=pi%2Ax%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the total area of the white semicircles are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=pi%2Ax%5E2 ALIGN=MIDDLE  ALT=\"A=pi%2Ax%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "------------------------------\r<BR>\n" );
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document.write( "Now let's find the area of the square:\r<BR>\n" );
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document.write( "The length and the width is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x ALIGN=MIDDLE  ALT=\"2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So the area is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=length%2Awidth=%282x%29%282x%29=4x%5E2 ALIGN=MIDDLE  ALT=\"A=length%2Awidth=%282x%29%282x%29=4x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "------------------------------\r<BR>\n" );
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document.write( "Now subtract the area of the circles semicircles from the area from the square\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2-pi%2Ax%5E2 ALIGN=MIDDLE  ALT=\"4x%5E2-pi%2Ax%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%284-pi%29 ALIGN=MIDDLE  ALT=\"x%5E2%284-pi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the common term <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So the total area of the shaded region is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=x%5E2%284-pi%29 ALIGN=MIDDLE  ALT=\"A=x%5E2%284-pi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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