document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1171561>Question 1171561</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An 18-inch pizza is to be equally divided among the group of 8 people.<BR>\n" );
document.write( "a. What is the central angle created by three cuts of pizza?<BR>\n" );
document.write( "b. Determine the arc length for the three cuts of pizza.<BR>\n" );
document.write( "c. If a cut of pizza had an arc length of 9π/4,  what is the area of the cut of pizza to the nearest tenth of a square inch? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #796468 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=796468\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 18 inch diameter pizza has a radius of 18/2 = 9 inches.<BR>\n" );
document.write( "circumference of that pizza is 2 * pi * 9 = 18 * pi = 56.54866776 inches.<BR>\n" );
document.write( "area of that pizza is pi * 9^2 = 81 * pi = 254.4690049 square inches.<BR>\n" );
document.write( "central angle of the whole pizza is 360 degrees.\r<BR>\n" );
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document.write( "since there are 8 slices of pie in that pizza, than the arc length of one slice of pizza is 18 * pi / 8 and the area of one slice of pizza is 81 * pi / 8 and the central angle formed by one slice of pizza is 360 / 8.\r<BR>\n" );
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document.write( "answers to your questions are:<BR>\n" );
document.write( "a.<BR>\n" );
document.write( "central angle formed by 3 slices of pizza is 3 * 360 / 8 = 135 degrees.<BR>\n" );
document.write( "b.<BR>\n" );
document.write( "arc length of 3 slices of pizza is 3 * 18 * pi / 8 = 6.75 * pi = 21.20575041 inches.<BR>\n" );
document.write( "c.<BR>\n" );
document.write( "if a cut of pizza had an arc length of 9pi/4, then the arc length of that pizza is the same as the arc length of one slice of pizza, because 9 * pi / 4 = 18 * pi / 8 = 2.225 * pi = 7.068583471 inches.<BR>\n" );
document.write( "the area of that slice of pizza would be 81 * pi / 8 = 10.125 * pi = 31.80862562 square inches.<BR>\n" );
document.write( "round to nearest tenth of a square inch to get 31.8 square inches.\r<BR>\n" );
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document.write( "those are you answers.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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