document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=61285>Question 61285</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073268620/algebrahomeworkh>Elementary and Intermediate Algebra </A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Comparing Dart Boards:   A toy store sells two sizes of circular dart boards.  The larger of the two has a radius that is 3 inches greater than that of the other.  The radius of the smaller dartboard is t inches.  Find a polynominal that represents the difference in area between the two dartboards. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #42207 by </B><A HREF=/tutors/aboutme.mpl?userid=jai_kos><B>jai_kos(139)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jai_kos><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=42207\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given two dartboards, one smaller and other larger.\r<BR>\n" );
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document.write( "Given the radius of the smaller dart board = t inches.\r<BR>\n" );
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document.write( "And the radius of thr bigger dart board = t + 3 inches.\r<BR>\n" );
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document.write( "Let first find the area of the  smaller dart board =  pi r^2 = pi * t^2             ---->(1)\r<BR>\n" );
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document.write( "Because the radius is equal to t inches.\r<BR>\n" );
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document.write( "Now let us find the area of the bigger dart board = pi r^2 = pi * (t+3)^2           ---->(2)\r<BR>\n" );
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document.write( "Because the radius of the biggger dart board.\r<BR>\n" );
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document.write( "Now since there are asking for the difference in the area's, we subtract equation(2) with one...\r<BR>\n" );
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document.write( "We get,\r<BR>\n" );
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document.write( "Area of the bigger dartboard - Area of the smaller dart board =\r<BR>\n" );
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document.write( "pi (t+3) ^2 - pi t^2\r<BR>\n" );
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document.write( "Taking the pi common out,\r<BR>\n" );
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document.write( "pi[ (t+3)^2 - t^2]\r<BR>\n" );
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document.write( "Splitting the terms , we get\r<BR>\n" );
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document.write( "pi[ t^2 + 6t + 9 -t^2]\r<BR>\n" );
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document.write( "pi[ 6t+ 9]\r<BR>\n" );
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document.write( "The above gives us a polynominal that representsthe difference in the areas of<BR>\n" );
document.write( " the dart boards.<BR>\n" );
document.write( " </SPAN>\n" );
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