document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=244876>Question 244876</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need a little help with this one please. Find a polynomial for the sum of the areas of three circles. The first circle has an unknown radius, the second one has a radius of 3, and the third a radius of 2. Help is greatly appreciated. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #179041 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=179041\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> area of a circle is equal to pi * r^2 where pi is equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > is equal to 3.141592654 and r is the radius of the circle.\r<BR>\n" );
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document.write( "let A[i] = the area of circle i.\r<BR>\n" );
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document.write( "[] means sub as in A[i] means A sub i.\r<BR>\n" );
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document.write( "i can be 1, 2, or 3.\r<BR>\n" );
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document.write( "let S = A[1] + A[2] + A[3]\r<BR>\n" );
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document.write( "A[1] = pi * r[1]^2 because the radius is not known.\r<BR>\n" );
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document.write( "A[2] = pi * 3^2 because the radius is 3.\r<BR>\n" );
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document.write( "A[3] = pi * 2^2 because the radius is 2.\r<BR>\n" );
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document.write( "You get:\r<BR>\n" );
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document.write( "S = pi*r[1]^2 + pi*3^2 + pi*2^2\r<BR>\n" );
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document.write( "This becomes:\r<BR>\n" );
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document.write( "S = pi*r[1]^2 + pi*9 + pi*4\r<BR>\n" );
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document.write( "factor out the pi to get:\r<BR>\n" );
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document.write( "S = pi * (r[1]^2 + 9 + 4)\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "S = pi * (r[1]^2 + 13)\r<BR>\n" );
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document.write( "I think that's your polynomial in its simplest form.\r<BR>\n" );
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document.write( "to solve for r[1], you would need to know S.\r<BR>\n" );
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document.write( "to solve for S, you would need to know r[1].\r<BR>\n" );
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document.write( "S is the sum of all three areas.\r<BR>\n" );
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document.write( "r[1] is the radius for the first circle.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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