document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=42074>Question 42074</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Question\r<BR>\n" );
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document.write( "Find the difference between the perimeter of a square of area 1 m^2 (metre square) and  the circumference of a circle of the same area.\r<BR>\n" );
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document.write( "Plese help to answer. Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #27252 by </B><A HREF=/tutors/aboutme.mpl?userid=psbhowmick><B>psbhowmick(878)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=psbhowmick><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=psbhowmick><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=27252\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1 metre square means a square with side 1 m. Don't confuse it with square metre. \r<BR>\n" );
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document.write( "Its area = 1 x 1 = 1 sq m.<BR>\n" );
document.write( "Perimeter = 4 x (Length of side) = 4 x 1 = 4 m.\r<BR>\n" );
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document.write( "Let the radius of the circle be 'r' metre.<BR>\n" );
document.write( "Then its area = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2 ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The area of this circle is equal to that of the square.<BR>\n" );
document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2+=+1 ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2+=+1%2F%28pi%29 ALIGN=MIDDLE  ALT=\"r%5E2+=+1%2F%28pi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+sqrt%281%2F%28pi%29%29 ALIGN=MIDDLE  ALT=\"r+=+sqrt%281%2F%28pi%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "or r = 0.5642 m.\r<BR>\n" );
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document.write( "Hence, circumference of the circle = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%28pi%29%2Ar ALIGN=MIDDLE  ALT=\"2%2A%28pi%29%2Ar\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%28pi%29%2A0.5642 ALIGN=MIDDLE  ALT=\"2%2A%28pi%29%2A0.5642\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3.545 m.\r<BR>\n" );
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document.write( "So the difference between the perimeter of the square and circumference of the circle = 4 - 3.545 = 0.455 m </SPAN>\n" );
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