document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=114401>Question 114401</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two areas of two circles is 128(pie)ft^2. The difference of the circumferences is 8(pie)ft. Find the radius of each circle.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #83217 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=83217\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of two areas of two circles is 128(pie)ft^2. The difference of the circumferences is 8(pie)ft. Find the radius of each circle.<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Let the respective radii be \"r\" and \"R\"<BR>\n" );
document.write( "------------------------------------------<BR>\n" );
document.write( "EQUATIONS:<BR>\n" );
document.write( "(pi)r^2 + pi(R)^2 = 128pi<BR>\n" );
document.write( "2pir - 2piR = 8pi<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Simplify:<BR>\n" );
document.write( "r^2 + R^2 = 128<BR>\n" );
document.write( "r - R = 4<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Substitute:<BR>\n" );
document.write( "(R+4)^2 + R^2 = 128<BR>\n" );
document.write( "2R^2 + 8R + 16 = 128\r<BR>\n" );
document.write( "\n" );
document.write( "2R^2 + 8R - 112 = 0<BR>\n" );
document.write( "R^2 + 4R - 56 = 0<BR>\n" );
document.write( "R = [-4 +- sqrt(16-4*-56)]/2\r<BR>\n" );
document.write( "\n" );
document.write( "R = [-4 +- sqrt(240)]/2\r<BR>\n" );
document.write( "\n" );
document.write( "R = [-4 + sqrt(240)]/2 = 5.745966692...<BR>\n" );
document.write( "r = 4+R = 9.745966692...<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );