document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=943623>Question 943623</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The circle below has a radius of 4 centimeters. What is the area of the shaded sector?\r<BR>\n" );
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document.write( " http://i.imgur.com/PcRGKBs.gif\r<BR>\n" );
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document.write( "I have tried to look up the formula for this but all I get is \r<BR>\n" );
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document.write( "area = 1/8 times pie times r^2\r<BR>\n" );
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document.write( "When I input it into a calculator, all I get is an extremely low number that can't be the answer to it, please assist me <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #575317 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=575317\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 45 / 360 = 1/8<BR>\n" );
document.write( "that's true.<BR>\n" );
document.write( "that would be equal to .125 which is the same as 1/8.<BR>\n" );
document.write( "the area of the sector is 1/8 * pi * r^2 which is equal to 1/8 * pi * 16 which is equal to 2 * pi.<BR>\n" );
document.write( "however, that is not the shaded area.<BR>\n" );
document.write( "the shaded area is the rest of the circle, whose formula would be (360 - 45) / 360 * pi * 4^2 which simplifies to 7/8 * pi * 16 which simplifies to 14 * pi.\r<BR>\n" );
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document.write( "the whole area of the circle is equal to pi * 4^2 which is equal to 16 * pi.<BR>\n" );
document.write( "1/8 * pi * 16 is equal to 2 * pi.<BR>\n" );
document.write( "7/8 * pi * 16 is equal to 14 * pi.<BR>\n" );
document.write( "add up the 1/8 and the 7/8 and you get the whole area of the circle.<BR>\n" );
document.write( "you did get the area of a sector, only you got the area for the unshaded sector and not the shaded sector.<BR>\n" );
document.write( "the shaded sector is what you needed to get.<BR>\n" );
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