document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=907049>Question 907049</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Five concentric circles with radii 1, 2, 3, 4, and 5 are drawn as shown dividing the circle of radius 5 into five regions: a circle of radius 1 and 4 annuuli (rings). What is the probability that a point chosen randomly from within the circle of radius 5 lies in the annulus whose inner radius is 3 and who outer radius is 4?\r<BR>\n" );
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document.write( "Thank you! &#9786; </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #550252 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=550252\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the areas for each of the 5 regions.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B1%5D=pi%281%29%5E2=3.14 ALIGN=MIDDLE  ALT=\"A%5B1%5D=pi%281%29%5E2=3.14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B2%5D=pi%282%29%5E2-pi%281%29%5E2=9.42 ALIGN=MIDDLE  ALT=\"A%5B2%5D=pi%282%29%5E2-pi%281%29%5E2=9.42\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B3%5D=pi%283%29%5E2-pi%282%29%5E2=15.71 ALIGN=MIDDLE  ALT=\"A%5B3%5D=pi%283%29%5E2-pi%282%29%5E2=15.71\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B4%5D=pi%284%29%5E2-pi%283%29%5E2=21.99 ALIGN=MIDDLE  ALT=\"A%5B4%5D=pi%284%29%5E2-pi%283%29%5E2=21.99\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B5%5D=pi%285%29%5E2-pi%284%29%5E2=28.27 ALIGN=MIDDLE  ALT=\"A%5B5%5D=pi%285%29%5E2-pi%284%29%5E2=28.27\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The total area is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Btot%5D=pi%285%5E2%29=78.54 ALIGN=MIDDLE  ALT=\"A%5Btot%5D=pi%285%5E2%29=78.54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The probability of being in each region is proportional to the area of the region divided by the area of the entire region.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B1%5D=3.14%2F78.54=0.04 ALIGN=MIDDLE  ALT=\"P%5B1%5D=3.14%2F78.54=0.04\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B2%5D=9.42%2F78.54=0.12 ALIGN=MIDDLE  ALT=\"P%5B2%5D=9.42%2F78.54=0.12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B3%5D=15.71%2F78.54=0.20 ALIGN=MIDDLE  ALT=\"P%5B3%5D=15.71%2F78.54=0.20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B4%5D=21.99%2F78.54=highlight%280.28%29 ALIGN=MIDDLE  ALT=\"P%5B4%5D=21.99%2F78.54=highlight%280.28%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B5%5D=28.27%2F78.54=0.36 ALIGN=MIDDLE  ALT=\"P%5B5%5D=28.27%2F78.54=0.36\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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