document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=321369>Question 321369</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A point is chosen at random from within a circular region. what is the probability that the point is closer to the center of the region than it is to the boundary of the region.\r<BR>\n" );
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document.write( "A 1/4  B 1/3  C 1/2   D 2/3   E 3/4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #230173 by </B><A HREF=/tutors/aboutme.mpl?userid=galactus><B>galactus(183)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=galactus><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=galactus><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=230173\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The area of the entire circle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2 ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "In order to be closer to the center than the boundary, the point will have to fall past the halfway point toward the center. \r<BR>\n" );
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document.write( "The circle that lies inside the larger circle has radius r/2.\r<BR>\n" );
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document.write( "Its area is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A%28r%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"pi%2A%28r%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So, we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28pi%2A%28r%2F2%29%5E2%29%2F%28pi%2Ar%5E2%29=1%2F4 ALIGN=MIDDLE  ALT=\"%28pi%2A%28r%2F2%29%5E2%29%2F%28pi%2Ar%5E2%29=1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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