document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=260160>Question 260160</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Show algebraically that the circles whose equations are x^2+y^2=16 and <BR>\n" );
document.write( "x^2+y^2-20x+64=0 are externally tangent. Find the area of their point of tangency. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #191614 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=191614\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Show algebraically that the circles whose equations are x^2+y^2=16 and <BR>\n" );
document.write( "x^2+y^2-20x+64=0 are externally tangent. Find the area of their point of tangency.<BR>\n" );
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document.write( "x^2+y^2=16<BR>\n" );
document.write( "This circle is about the Origin and r = 4<BR>\n" );
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document.write( "x^2+y^2-20x+64=0<BR>\n" );
document.write( "Complete the square:<BR>\n" );
document.write( "x^2-20x+100 + y^2+64=100<BR>\n" );
document.write( "(x-10)^2 + y^2 = 36<BR>\n" );
document.write( "This circle's center is (10,0) and r = 6<BR>\n" );
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document.write( "The 2 radii add to 10, the same as the distance between the centers so they're tangent.<BR>\n" );
document.write( "The point of tangency is (4,0).  They're tangent, there's no area involved.<BR>\n" );
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