document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1077259>Question 1077259</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given three identical  squares of edge 6ft. How can you arrange the three squares to produce the largest and smallest circle possible that can inscribed the squares? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #692081 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=692081\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I would expect that \"inscribed in the squares\" does not apply to this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28480%2C440%2C-2.4%2C2.4%2C-2.4%2C2%2C%0D%0Atriangle%28-0.866%2C-0.5%2C0.866%2C-0.5%2C0%2C1%29%2C%0D%0Arectangle%28-0.866%2C-0.5%2C0.866%2C-2.232%29%2C%0D%0Aline%28-0.866%2C-0.5%2C-2.366%2C0.366%29%2C%0D%0Aline%280%2C1%2C-1.5%2C1.866%29%2C%0D%0Aline%28-2.366%2C0.366%2C-1.5%2C1.866%29%2C%0D%0Aline%280.866%2C-0.5%2C2.366%2C0.366%29%2C%0D%0Aline%280%2C1%2C1.5%2C1.866%29%2C%0D%0Aline%282.366%2C0.366%2C1.5%2C1.866%29%2C%0D%0Ared%28circle%280%2C0%2C0.5%29%29%2Cred%28circle%280%2C0%2C0.49%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > That is a very small circle.<BR>\n" );
document.write( " <BR>\n" );
document.write( "What does it mean to be \"inscribed in the squares\"?<BR>\n" );
document.write( "Does it mean the circle is inscribed in each square,<BR>\n" );
document.write( "like the circle below?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28360%2C340%2C-1.8%2C1.8%2C-1.2%2C2.2%2C%0D%0Aline%281.225%2C0%2C0%2C1.225%29%2C%0D%0Aline%280%2C1.225%2C-1.225%2C0%29%2C%0D%0Aline%28-1.225%2C0%2C0%2C-1.225%29%2C%0D%0Aline%280%2C-1.225%2C1.225%2C0%29%2C%0D%0Aline%281.061%2C0.612%2C-0.612%2C1.061%29%2C%0D%0Aline%28-0.612%2C1.061%2C-1.061%2C-0.612%29%2C%0D%0Aline%28-1.061%2C-0.612%2C0.612%2C-1.061%29%2C%0D%0Aline%280.612%2C-1.061%2C1.061%2C0.612%29%2C%0D%0Aline%280.612%2C1.061%2C-1.061%2C0.612%29%2C%0D%0Aline%28-1.061%2C0.612%2C-0.612%2C-1.061%29%2C%0D%0Aline%28-0.612%2C-1.061%2C1.061%2C-0.612%29%2C%0D%0Aline%281.061%2C-0.612%2C0.612%2C1.061%29%2C%0D%0Ared%28circle%280%2C0%2C0.866%29%29%2Cred%28circle%280%2C0%2C0.856%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "Does it mean that it is tangent to one side of each circle,<BR>\n" );
document.write( "and is contained in the union of all 3 circles, as the circle below?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28360%2C340%2C-1.8%2C1.8%2C-1.2%2C2.2%2C%0D%0Atriangle%28-1.732%2C-1%2C1.732%2C-1%2C0%2C2%29%2C%0D%0Aline%28-0.866%2C0.732%2C0.866%2C0.732%29%2C%0D%0Aline%28-0.866%2C-1%2C0.866%2C-1%29%2C%0D%0Aline%28-0.866%2C-1%2C-0.866%2C0.732%29%2C%0D%0Aline%280.866%2C-1%2C0.866%2C0.732%29%2C%0D%0Aline%280.433%2C1.25%2C-1.067%2C0.384%29%2C%0D%0Aline%281.299%2C-0.25%2C-0.201%2C-1.116%29%2C%0D%0Aline%28-1.067%2C0.384%2C-0.201%2C-1.116%29%2C%0D%0Aline%280.433%2C1.25%2C1.299%2C-0.25%29%2C%0D%0Aline%28-1.299%2C-0.25%2C-0.433%2C1.25%29%2C%0D%0Aline%28-1.299%2C-0.25%2C0.201%2C-1.116%29%2C%0D%0Aline%28-0.433%2C1.25%2C1.067%2C0.384%29%2C%0D%0Aline%280.201%2C-1.116%2C1.067%2C0.384%29%2C%0D%0Ared%28circle%280%2C0%2C1%29%29%2Cred%28circle%280%2C0%2C0.99%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > This one is a bit larger.<BR>\n" );
document.write( "The circle is inscribed in an equilateral triangle,<BR>\n" );
document.write( "and each square has a side on a side of that triangle.<BR>\n" );
document.write( " <BR>\n" );
document.write( "Does it mean that it is contained inside the union of all three squares,<BR>\n" );
document.write( "as the circle below?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28360%2C340%2C-1.8%2C1.8%2C-1.2%2C2.2%2C%0D%0Arectangle%28-1.0825%2C-1%2C0.6495%2C0.732%29%2C%0D%0Arectangle%281.0825%2C-1%2C-0.6495%2C0.732%29%2C%0D%0Arectangle%28-0.866%2C-0.5693%2C0.866%2C1.1627%29%2C%0D%0Atriangle%28-1.732%2C-1%2C1.732%2C-1%2C0%2C2%29%2C%0D%0Ared%28circle%280%2C0.0825%2C1.0825%29%29%2Cred%28circle%280%2C0.0825%2C1.0725%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This last one is tangent to one side of the top square,<BR>\n" );
document.write( "and tangent to two sides of each of the bottom squares.<BR>\n" );
document.write( "It is as large as I figure I could fit completely inside the union of the squares. </SPAN>\n" );
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