document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=320470>Question 320470</A>: <I><SPAN STYLE=\"word-break: break-all;\"> draw the outer circle of raius 3cm.then draw six identical smaller circles touches it neighbours and the outer circle?what is the radius of the circle that will fit in the central hole? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #229542 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=229542\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-10%2C10%2C-10%2C10%2C%0D%0Aline%280%2C0%2C0%2C10%29%2Cline%280%2C0%2C10%2C0%29%2Cblue%28line%280%2C0%2C-2.1%2C-2.1%29%29%2C%0D%0Acircle%280%2C0%2C3%29%2C%0D%0Acircle%286%2C0%2C0.2%29%2C%0D%0Acircle%283%2C5.2%2C.2%29%2C%0D%0Aline%286%2C0%2C3%2C5.2%29%2C%0D%0Aline%280%2C0%2C3%2C5.2%29%2C%0D%0Agreen%28line%280%2C0%2C4.5%2C2.6%29%29%2C%0D%0Agreen%28line%280%2C0.1%2C6%2C0.1%29%29%2C%0D%0Agreen%28line%284.5%2C2.6%2C6%2C0.1%29%29%2C%0D%0Alocate%28-0.5%2C-1%2CR1%29%2C%0D%0Alocate%284.5%2C0%2CR%29%2C%0D%0Alocate%285.8%2C2.5%2CR%29%0D%0Acircle%285.5%2C0%2C3%29%2Ccircle%283%2C5.2%2C3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
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document.write( "I think this is what you mean.<BR>\n" );
document.write( "The inner circle has a radius, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R1 ALIGN=MIDDLE  ALT=\"R1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The outer 6 circles have a radius of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R ALIGN=MIDDLE  ALT=\"R\"   DISABLED_style= \"max-width:90%; height:auto;\" > and occur every 60 degrees.<BR>\n" );
document.write( "Only two of them are shown here. <BR>\n" );
document.write( "The green right triangle formed by the circles has a hypotenuse of,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H=R1%2BR ALIGN=MIDDLE  ALT=\"H=R1%2BR\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The green opposite leg of the triangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R ALIGN=MIDDLE  ALT=\"R\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The angle opposite the green leg is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2860%29=30 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2860%29=30\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "From trigonometry,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%2830%29=OPP%2FHYP ALIGN=MIDDLE  ALT=\"sin%2830%29=OPP%2FHYP\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.5=R%2F%28R1%2BR%29 ALIGN=MIDDLE  ALT=\"0.5=R%2F%28R1%2BR%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R=0.5%28R1%2BR%29 ALIGN=MIDDLE  ALT=\"R=0.5%28R1%2BR%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2R=R1%2BR ALIGN=MIDDLE  ALT=\"2R=R1%2BR\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R1=R ALIGN=MIDDLE  ALT=\"R1=R\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You also know that,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R1%2BR%2BR=3 ALIGN=MIDDLE  ALT=\"R1%2BR%2BR=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R1=R=1 ALIGN=MIDDLE  ALT=\"R1=R=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > cm </SPAN>\n" );
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