document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=467135>Question 467135</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You have a sector PQR where QR is the arc of the circle with center P. If the lenght of the arc QR is 6pi, and the angle formed at point P is 30 degrees, what is the area of the sector PQR?\r<BR>\n" );
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document.write( "The answer is 108pi.\r<BR>\n" );
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document.write( "I do not understand how they got this answer.\r<BR>\n" );
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document.write( "Can you help? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #320680 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=320680\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Note: 30 degrees = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2A%28pi%2F180%29=pi%2F6 ALIGN=MIDDLE  ALT=\"30%2A%28pi%2F180%29=pi%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > radians\r<BR>\n" );
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document.write( "Arc length: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=theta%2Ar ALIGN=MIDDLE  ALT=\"L=theta%2Ar\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta ALIGN=MIDDLE  ALT=\"theta\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the central angle (that subtends, ie cuts, the arc....this angle is in radians) and r is is the radius\r<BR>\n" );
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document.write( "So we're given that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=6pi ALIGN=MIDDLE  ALT=\"L=6pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta=pi%2F6 ALIGN=MIDDLE  ALT=\"theta=pi%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=theta%2Ar ALIGN=MIDDLE  ALT=\"L=theta%2Ar\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6pi=%28pi%2F6%29%2Ar ALIGN=MIDDLE  ALT=\"6pi=%28pi%2F6%29%2Ar\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=36 ALIGN=MIDDLE  ALT=\"r=36\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "which means that the radius of this circle is 36 units.\r<BR>\n" );
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document.write( "Area of sector: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%281%2F2%29r%5E2%2Atheta ALIGN=MIDDLE  ALT=\"A=%281%2F2%29r%5E2%2Atheta\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%281%2F2%29r%5E2%2Atheta ALIGN=MIDDLE  ALT=\"A=%281%2F2%29r%5E2%2Atheta\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%281%2F2%29%2836%29%5E2%2A%28pi%2F6%29 ALIGN=MIDDLE  ALT=\"A=%281%2F2%29%2836%29%5E2%2A%28pi%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=36 ALIGN=MIDDLE  ALT=\"r=36\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta=pi%2F6 ALIGN=MIDDLE  ALT=\"theta=pi%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%281%2F2%29%281296%29%2A%28pi%2F6%29 ALIGN=MIDDLE  ALT=\"A=%281%2F2%29%281296%29%2A%28pi%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%281296pi%29%2F%2812%29 ALIGN=MIDDLE  ALT=\"A=%281296pi%29%2F%2812%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=108pi ALIGN=MIDDLE  ALT=\"A=108pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the area is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=108pi ALIGN=MIDDLE  ALT=\"108pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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