document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182220>Question 1182220</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The area of the shaded region represents one-third of the total, What is the<BR>\n" );
document.write( "size of the radii such that this is possible? \r<BR>\n" );
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document.write( "The radius of the whole circle is 12cm while the shaded region is a ring in<BR>\n" );
document.write( "the middle with a small not shaded circle in the middle.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #812269 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=812269\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> he area of the shaded region represents one-third of the total, What is the size of the radii such that this is possible? \r<BR>\n" );
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document.write( "The radius of the whole circle is 12cm while the shaded region is a ring in the middle with a small not shaded circle in the middle. <BR>\n" );
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document.write( "Find 1/3 of the area of the whole circle<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2A12%5E2+=+150.796 ALIGN=MIDDLE  ALT=\"pi%2A12%5E2+=+150.796\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "let R = radius to the outer ring <BR>\n" );
document.write( "let r = radius to the inner ring <BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28pi%2AR%5E2%29+-+%28pi%2Ar%5E2%29+=+150.796 ALIGN=MIDDLE  ALT=\"%28pi%2AR%5E2%29+-+%28pi%2Ar%5E2%29+=+150.796\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%28R%5E2+-+r%5E2%29+=+150.796 ALIGN=MIDDLE  ALT=\"pi%28R%5E2+-+r%5E2%29+=+150.796\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide both sides by pi<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%5E2+-+r%5E2+=+48 ALIGN=MIDDLE  ALT=\"R%5E2+-+r%5E2+=+48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "graph this equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R+=+sqrt%2848%2Br%5E2%29 ALIGN=MIDDLE  ALT=\"R+=+sqrt%2848%2Br%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Where R is on the y axis, r is on the x axis<BR>\n" );
document.write( "first integer solution<BR>\n" );
document.write( "R = 8, r = 4<BR>\n" );
document.write( "see if that works<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28pi%2A8%5E2%29+-+%28pi%2A4%5E2%29 ALIGN=MIDDLE  ALT=\"%28pi%2A8%5E2%29+-+%28pi%2A4%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "201.062 - 50.265 = 150.797 <BR>\n" );
document.write( "The radii of 8 and 4 make this possible </SPAN>\n" );
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