document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1177833>Question 1177833</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A landscape architect is planning a circular flower<BR>\n" );
document.write( "bed that will be surrounded by a ring of paving<BR>\n" );
document.write( "stones, 25 cm wide. The area of the ring of paving<BR>\n" );
document.write( "stones will be half the area of the flower bed.<BR>\n" );
document.write( "Determine the radius of the flower bed, to the<BR>\n" );
document.write( "nearest centimetre.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #806965 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=806965\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The other tutor got lost in the middle of her calculations....<br><BR>\n" );
document.write( "The area of the ring of paving stones is half the area of the garden, so the area of the garden plus paving stones is 1.5 times the area of the garden.<br><BR>\n" );
document.write( "Radius of the garden = r<BR>\n" );
document.write( "Radius of garden plus paving stones = r+25<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28r%2B25%29%5E2+=+%283%2F2%29%28r%5E2%29 ALIGN=MIDDLE  ALT=\"%28r%2B25%29%5E2+=+%283%2F2%29%28r%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28r%2B25%29%2Fr%29%5E2+=+3%2F2 ALIGN=MIDDLE  ALT=\"%28%28r%2B25%29%2Fr%29%5E2+=+3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28r%2B25%29%2Fr+=+sqrt%283%2F2%29+=+1.2247 ALIGN=MIDDLE  ALT=\"%28r%2B25%29%2Fr+=+sqrt%283%2F2%29+=+1.2247\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%2B25+=+1.2247r ALIGN=MIDDLE  ALT=\"r%2B25+=+1.2247r\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25+=+0.2247r ALIGN=MIDDLE  ALT=\"25+=+0.2247r\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+25%2F0.2247+=+111 ALIGN=MIDDLE  ALT=\"r+=+25%2F0.2247+=+111\"   DISABLED_style= \"max-width:90%; height:auto;\" > with rounding error<br><BR>\n" );
document.write( "ANSWER: the radius of the flower bed is 111cm.<br><BR>\n" );
document.write( "CHECK: (round numbers)<BR>\n" );
document.write( "pi(111^2) = 38708<BR>\n" );
document.write( "pi(136^2) = 58106<BR>\n" );
document.write( "58106/38708 = 1.5<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );