document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=328758>Question 328758</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the central angle of a sector that is 40% of the pie chart\r<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 #235548 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=235548\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If it's 40% of the pie chart, then it takes up 40% of the area of the circle.\r<BR>\n" );
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document.write( "It also takes up 40% of the total degrees of the circle.\r<BR>\n" );
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document.write( "The total degrees of the circle is 360.\r<BR>\n" );
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document.write( "40% of 360 = .4 * 360 = 144 degrees.\r<BR>\n" );
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document.write( "The central angle will be 144 degrees.\r<BR>\n" );
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document.write( "The area of a circle is equal to pi * r^2\r<BR>\n" );
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document.write( "The area of a section of a circle is equal to x/360 * pi * r^2\r<BR>\n" );
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document.write( "Since x = 144, then the area of the section of the circle is equal to 144/ 360 * pi * r^2 which is equal to .4 * pi * r^2 which is equal to 40% of the area of the circle.\r<BR>\n" );
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document.write( "The simple answer is that 40% of the circle is 40% of the number of degrees in the circumference of the circle which is 40% of 360 which is 144.\r<BR>\n" );
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document.write( "If you divide the circle in half, then each half has 180 degrees.\r<BR>\n" );
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document.write( "If you divide the circle in fourths, then each fourth has 90 degrees.\r<BR>\n" );
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