document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=509424>Question 509424</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A circular pool is surrounded by a brick walkway 3m wide. Find the radius of the pool if the area of the walkway is 198 m^2. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The walkway is 3 m wide, and A of walkway = 193 m^2....\r<BR>\n" );
document.write( "\n" );
document.write( "I think I need to find the area of the entire circle and subtract the area of the walkway from it, and figure out the radius from there, but I have no idea how to do so. \r<BR>\n" );
document.write( "\n" );
document.write( "I'D LOVE any additional advice on polynomial word problems - rate-time-distance problems, problems involving area... <BR>\n" );
document.write( "Any tips, please??\r<BR>\n" );
document.write( "\n" );
document.write( "Much appreciated! Thank you !! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #341459 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=341459\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large r\"> represent the radius of the pool.  Then the radius of the entire circle including the walkway is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large r\ +\ 3\">.  Then the area of the entire circle, including both the pool and the walkway is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large A_T\ =\ \pi(r\ +\ 3)^2\">, whereas the area of just the pool is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large A_P\ =\ \pi{r^2}\">.  Subtract the area of the pool from the area of the entire circle to get the area of the walkway:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \pi(r\ +\ 3)^2\ -\ \pi{r^2}\ =\ 198\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \pi\left[r^2\ +\ 6r\ +\ 9\ -\ r^2\right]\ =\ 198\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 6r\ +\ 9\ =\ \frac{198}{\pi}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "You can take it from here.  Leave your answer in terms of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \pi\"> for an exact answer or round your numeric approximation to the nearest whole meter since the precision of your given measurement was to the nearest square meter.  Or, if you use the old standby <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{22}{7}\"> as an approximation of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \pi\"> then your answer comes out to be a whole number anyway.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
document.write( "<div  DISABLED_style= \"text-align:center\"><a  rel=nofollow HREF=\"http://outcampaign.org/\" target=\"_blank\"><IMG STYLE=\"max-width:80%;\" src=\"http://cdn.cloudfiles.mosso.com/c116811/scarlet_A.png\" border=\"0\" alt=\"The Out Campaign: Scarlet Letter of Atheism\" width=\"143\" height=\"122\" /></a></div><BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );