document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=273717>Question 273717</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A circle surrounds a rectangle. A rectangle is 12 feet long and 9 feet high. The circle touches all four corners of the rectangle. what is the size of the shaded area(the left over circle). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #199925 by </B><A HREF=/tutors/aboutme.mpl?userid=CharlesG2><B>CharlesG2(834)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CharlesG2><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=199925\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A circle surrounds a rectangle. A rectangle is 12 feet long and 9 feet high. The circle touches all four corners of the rectangle. what is the size of the shaded area(the left over circle).\r<BR>\n" );
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document.write( "area of rectangle = length * width = 12 * 9 = 108<BR>\n" );
document.write( "area of circle = pi * radius^2 (need to find radius)<BR>\n" );
document.write( "center of rectangle should be the center of the circle<BR>\n" );
document.write( "so we should have a right triangle with legs of 4.5 and 6, the hypotenuse of this triangle should be the radius of the circle<BR>\n" );
document.write( "4.5^2 + 6^2 = radius^2<BR>\n" );
document.write( "20.25 + 36 = 56.25\r<BR>\n" );
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document.write( "area of shaded area (left over circle) = 56.25pi - 108<BR>\n" );
document.write( "176.714587 - 108<BR>\n" );
document.write( "68.714587 or approx 68.7 ft^2 is the shaded area<BR>\n" );
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