document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=176597>Question 176597</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An error has been made when measuring the internal diameter of a large drain pipe. The measurement is 5% too large. If this measurement is used to calculate the cross sectional area of the pipe calculate\r<BR>\n" );
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document.write( "A)	the percentage error that will occur compared to the true area<BR>\n" );
document.write( "B)	the true area of the pipe when the incorrect measured diameter was 796mm. Give your answer in   m^2 to 5 s.f\r<BR>\n" );
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document.write( "Area=&#960;r^2 or  &#960; d^2/4    <BR>\n" );
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document.write( "C)	And also solve the problem using the binominal theorem to the degree of accuracy stated.\r<BR>\n" );
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document.write( "^2 means squared </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #131679 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=131679\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.05%5E2 ALIGN=MIDDLE  ALT=\"1.05%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=1.1025  so error is 1.1025-1=.1025(100)=10.25% <BR>\n" );
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document.write( "B)if the incorrect diameter is 796 mm then the correct diameter is 796/1.05=<BR>\n" );
document.write( "758.095mm. incorrect radius=796/2=398 mm or .398 m....correct radius =758.095/2=379.05mm or .379 m <BR>\n" );
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document.write( "incorrect=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28pi%29%28.398%29%5E2=.497+%28m%29%5E2 ALIGN=MIDDLE  ALT=\"%28pi%29%28.398%29%5E2=.497+%28m%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "correct==<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28pi%29%28.379%29%5E2=.451+%28m%29%5E2 ALIGN=MIDDLE  ALT=\"%28pi%29%28.379%29%5E2=.451+%28m%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "checking error percentage with actual numbers.497-.451=.046:error % is .046/.451=.10197(100)=10.2% error <BR>\n" );
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document.write( "C) I will leave binomial theorem to you </SPAN>\n" );
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