document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1032482>Question 1032482</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A large pizza at a pizzeria is a circle with a diameter of 14 inches. Its box is a rectangular prism that is 14 1/8 inches long, 14 1/8 wide and 1 3/4 tall. Your job is to create a new shape for the large pizza<BR>\n" );
document.write( "It can be any irregular polygon shape BUT<BR>\n" );
document.write( "It must have at least 5 sides<BR>\n" );
document.write( "Fit inside the large box listed above<BR>\n" );
document.write( "And be cut into 8-12 equal slices.\r<BR>\n" );
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document.write( "Please help!\r<BR>\n" );
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document.write( "I know the area of the circle is 153.94inches <BR>\n" );
document.write( "And the area of the rectangular prism is 496.91 inches\r<BR>\n" );
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document.write( "Now I was looking to use a 6 sided object but I have no idea what I am doing. Can someone please help me? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #648304 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=648304\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A hexagon is a good choice for a problem like this.<BR>\n" );
document.write( "If you draw a regular hexagon, you will see that the distance across it must be the same 14 1/8\" to clear the 14\" pizza...that distance must be side to side not vertex to vertex...<BR>\n" );
document.write( "That 14 1/8\" distance is the length of two apothems.<BR>\n" );
document.write( "Thus the apothem is 7 1/16\".<BR>\n" );
document.write( "We can find the side of the hexagonal box by realizing that a hexagon is really just six equilateral triangles in one figure.<BR>\n" );
document.write( "We have to multiply the apothem by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Fsqrt%283%29 ALIGN=MIDDLE  ALT=\"2%2Fsqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "We get <BR>\n" );
document.write( "Side length = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7.0625+%2A+%282%2Fsqrt%283%29%29+=+8.155 ALIGN=MIDDLE  ALT=\"7.0625+%2A+%282%2Fsqrt%283%29%29+=+8.155\"   DISABLED_style= \"max-width:90%; height:auto;\" > inches<BR>\n" );
document.write( "The area of said hexagon would be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%281%2F2%29ap+=+%281%2F2%29%287.0625%29%286%2A8.155%29 ALIGN=MIDDLE  ALT=\"A+=+%281%2F2%29ap+=+%281%2F2%29%287.0625%29%286%2A8.155%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
document.write( "172.8 square inches, certainly large enough for the pizza... </SPAN>\n" );
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