document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=955754>Question 955754</A>: <I><SPAN STYLE=\"word-break: break-all;\"> http://jasper.kaptest.com/content/media/00/124700.11.25cbb913-01d3-4258-af2b-5415d367e71e.png\r<BR>\n" );
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document.write( "In the figure above, AC is tangent at point B to the circle centered at O.  DFis parallel to AC . If  DF=6sqrt 3   and the circumference of the circle is 12&#960;, what is the probability that a point randomly selected from the interior of the circle will fall within the shaded region?\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 #584096 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=584096\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> From the circumference,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12pi=pi%2A%282%2AOD%29 ALIGN=MIDDLE  ALT=\"12pi=pi%2A%282%2AOD%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=OD=6 ALIGN=MIDDLE  ALT=\"OD=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=DE=%281%2F2%29DF=3sqrt%283%29 ALIGN=MIDDLE  ALT=\"DE=%281%2F2%29DF=3sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28theta%29=DE%2FOD ALIGN=MIDDLE  ALT=\"sin%28theta%29=DE%2FOD\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28theta%29=%283sqrt%283%29%29%2F6 ALIGN=MIDDLE  ALT=\"sin%28theta%29=%283sqrt%283%29%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28theta%29=sqrt%283%29%2F2 ALIGN=MIDDLE  ALT=\"sin%28theta%29=sqrt%283%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta=60 ALIGN=MIDDLE  ALT=\"theta=60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the shaded region takes up 120 degrees of the 360 degree circle total.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=120%2F360=1%2F3 ALIGN=MIDDLE  ALT=\"P=120%2F360=1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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