document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1178511>Question 1178511</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A plate made from a rectangular sheet of metal x metres by y metres has one corner \"rounded\" to a quadrant of a circle with radius r.<BR>\n" );
document.write( "Show that r= 2* sqrt xy-A/4-pi, where A is the area of the \"finished\" plate, given that r>0. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #807906 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=807906\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=mananth&illustration_name=plate.png\">.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Total+area+=+r%28x-r%29+%2B+x%28y-r%29+%2B+%28pi%2F4%29+r%5E2 ALIGN=MIDDLE  ALT=\"Total+area+=+r%28x-r%29+%2B+x%28y-r%29+%2B+%28pi%2F4%29+r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "A= xr - r^2 +xy -xr +(pi/4) r^2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "A = xy -r^2 +(pi/4)r^2\r<BR>\n" );
document.write( "\n" );
document.write( "A = xy -r^2 (1-(pi/4))\r<BR>\n" );
document.write( "\n" );
document.write( "A= xy -r^2 ( (4-pi)/4))<BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2+%28+%284-pi%29%2F4%29%29+=xy-A ALIGN=MIDDLE  ALT=\"r%5E2+%28+%284-pi%29%2F4%29%29+=xy-A\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2+=+%28xy-A%29%2F%28%28%284-pi%29%2F4%29%29 ALIGN=MIDDLE  ALT=\"r%5E2+=+%28xy-A%29%2F%28%28%284-pi%29%2F4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2+=+4%2A%28xy-A%29+%2F+%284-pi%29 ALIGN=MIDDLE  ALT=\"r%5E2+=+4%2A%28xy-A%29+%2F+%284-pi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=+2%2A+sqrt%28%28xy-A%29%2F%284-pi%29%29 ALIGN=MIDDLE  ALT=\"r=+2%2A+sqrt%28%28xy-A%29%2F%284-pi%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );