document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1160997>Question 1160997</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (The gazebo is octagonal.)\r<BR>\n" );
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document.write( "1.) First you need to know the total area of the floor so you can determine how much <BR>\n" );
document.write( "wood to buy. If each side of the gazebo is 6 feet long and the length of the apothem is <BR>\n" );
document.write( "7.25 feet, what is the area of the floor?\r<BR>\n" );
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document.write( "2.) To make the floor perfectly regular you need to make sure to cut the wood at the <BR>\n" );
document.write( "correct angle on the ends. What is the measure of the angle at each corner of the gazebo?\r<BR>\n" );
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document.write( "( for the first answer on number one , I got 174 square feet for the area.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #784506 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=784506\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "The sum of the measures of the interior angles of any convex polygon is given by:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (n\,-\,2)180^\circ\">\r<BR>\n" );
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document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large n\"> is the number of vertices.\r<BR>\n" );
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document.write( "Since the polygon you are describing is equilateral, it must also be equiangular, hence each interior angle must have a measure that is the sum of the measures the sum of the interior angles divided by the number of vertices.\r<BR>\n" );
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document.write( "For <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large n\ =\ 8\">, each interior angle measures\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{6\,*\,180}{8}\ =\ 135\"> degrees.\r<BR>\n" );
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document.write( "Note that any line segment with endpoints at the center of the octagon and a vertex of the octagon bisects the interior angle, hence the end of each piece of wood must be cut at an angle measuring one-half of the interior angle measure.<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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