document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197570>Question 1197570</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the average rate of change of the function  A(x)=piX^2, where A is the area of a circle with radius X, as the radius changes from X=4 to X=6 ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #830880 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=830880\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Plug in x = 4<BR>\n" );
document.write( "A(x) = pi*x^2<BR>\n" );
document.write( "A(4) = pi*4^2<BR>\n" );
document.write( "A(4) = 16pi\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Repeat similar steps for x = 6 to find that A(6) = 36pi\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The average rate of change is then:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28A%286%29-A%284%29%29%2F%286-4%29+=+%2836pi-16pi%29%2F%286-4%29+=+%2820pi%29%2F2+=+10pi ALIGN=MIDDLE  ALT=\"%28A%286%29-A%284%29%29%2F%286-4%29+=+%2836pi-16pi%29%2F%286-4%29+=+%2820pi%29%2F2+=+10pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Answer: <font color=red>10pi</font><BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );