document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=281602>Question 281602</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the perimeter of the square in which a circle of area 81 pi is inscribed. <BR>\n" );
document.write( "A. 81<BR>\n" );
document.write( "B. 40<BR>\n" );
document.write( "C. 72<BR>\n" );
document.write( "D. 9<BR>\n" );
document.write( "E. 18\r<BR>\n" );
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document.write( "Please show me step by step how to solve the answer.<BR>\n" );
document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #204566 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathematicians><B>Mathematicians(84)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathematicians><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=Mathematicians><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=204566\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This problem looks fun!!!\r<BR>\n" );
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document.write( "You will have to visualize a square with a circle in it, the circle has 4 points, in which it touches the middle of every square.\r<BR>\n" );
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document.write( "The Area of a circle is:\r<BR>\n" );
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document.write( "<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( "we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+81pi ALIGN=MIDDLE  ALT=\"+A+=+81pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so we get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81pi+=+pi+r%5E2 ALIGN=MIDDLE  ALT=\"81pi+=+pi+r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81+=+r%5E2 ALIGN=MIDDLE  ALT=\"81+=+r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > dividing <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > on both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+-9 ALIGN=MIDDLE  ALT=\"r+=+-9\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28r+=+9%29 ALIGN=MIDDLE  ALT=\"highlight%28r+=+9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Since r is distance, we will only consider the positive value of r.\r<BR>\n" );
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document.write( "However, in the picture you visualized, you will see that the diameter of the circle is the length of one side of the square. A few more formulas!\r<BR>\n" );
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document.write( "Perimeter of a square: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P+=+4S ALIGN=MIDDLE  ALT=\"P+=+4S\"   DISABLED_style= \"max-width:90%; height:auto;\" > where P is perimeter and S is the length of a side.\r<BR>\n" );
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document.write( "Diameter of a circle: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D+=+2r ALIGN=MIDDLE  ALT=\"D+=+2r\"   DISABLED_style= \"max-width:90%; height:auto;\" > where r is radius and D is diameter\r<BR>\n" );
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document.write( "We get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D+=+2+%2A+9+=+18 ALIGN=MIDDLE  ALT=\"D+=+2+%2A+9+=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and finally\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P+=+4+%2A+18+=+72 ALIGN=MIDDLE  ALT=\"+P+=+4+%2A+18+=+72\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28P+=+72%29 ALIGN=MIDDLE  ALT=\"highlight%28P+=+72%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I hope this helps ;),<BR>\n" );
document.write( "Bran </SPAN>\n" );
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