document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=292403>Question 292403</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi all, I was hoping to get some help with the following problem with regards to correctly finding an equation to a circle.<BR>\n" );
document.write( "The problem involves a wheel rim with the equation: <BR>\n" );
document.write( "x^2 + y^2 - 4x + 2y - 436 = 0<BR>\n" );
document.write( "However, the wheel rim circle equation (above) does not account for the tyre on the wheel rim. Find the equation that represents the tyre if its sidewall height is 11cm.<BR>\n" );
document.write( "Any help and guidance would be great. <BR>\n" );
document.write( "Thanks, -Nick. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #211213 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=211213\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the general equation is ___ (x - h)^2 + (y - k)^2 = r^2<BR>\n" );
document.write( "this is a circle, centered at (h,k) with a radius of r\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "completing the squares for x and y ___ x^2 - 4x + 4 + y^2 + 2y + 1 - 436 = 0 + 4 + 1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(x - 2)^2 + (y + 1)^2 = 431\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "for the tyre ___ r^2 = {[sqrt(431)] + 11}^2<BR>\n" );
document.write( "the center point does not change </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );