document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1143604>Question 1143604</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A circle is inscribed in a square. What is the probability that a penny, if thrown, will fall in the shaded region?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #764450 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=764450\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "What shaded region...?<br><BR>\n" );
document.write( "Let r be the radius of the circle; then the side of the square is the diameter of the circle, which is 2r.<br><BR>\n" );
document.write( "area of square: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282r%29%5E2+=+4r%5E2 ALIGN=MIDDLE  ALT=\"%282r%29%5E2+=+4r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "area of circle: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28pi%29r%5E2 ALIGN=MIDDLE  ALT=\"%28pi%29r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "P(penny lands inside the circle) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F4 ALIGN=MIDDLE  ALT=\"pi%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "P(penny lands inside the square but outside the circle) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284-pi%29%2F4 ALIGN=MIDDLE  ALT=\"%284-pi%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Use that to find the probability that the penny lies in your shaded region. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );