document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=140042>Question 140042</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Square A is circumscribed about a circle by 100%. By how much is the area increased?\r<BR>\n" );
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document.write( "b)A semi circle sits on top of a square.  The perimeter of the figure is 36cm. Find the area of the figure. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #102135 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=102135\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Square A is circumscribed about a circle by 100%. By how much is the area increased?<BR>\n" );
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document.write( "Choose a value for r and find the percentage increase in area:<BR>\n" );
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document.write( "r = 5, then one side of the square = 10<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28pi%2A5%5E2%29%2F10%5E2 ALIGN=MIDDLE  ALT=\"%28pi%2A5%5E2%29%2F10%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .78 = 78% increase in area<BR>\n" );
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document.write( "b)A semi circle sits on top of a square. The perimeter of the figure is 36cm. Find the area of the figure.<BR>\n" );
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document.write( "Let r = radius of the half circle<BR>\n" );
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document.write( "2r = side of the square:<BR>\n" );
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document.write( "Find r using the Perimeter:<BR>\n" );
document.write( "3(2r) + .5(2*pi*r) = 36<BR>\n" );
document.write( "6r + (pi*r) = 36<BR>\n" );
document.write( "r(6+pi) = 36<BR>\n" );
document.write( "r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36%2F%28%286%2Bpi%29%29 ALIGN=MIDDLE  ALT=\"36%2F%28%286%2Bpi%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "r = 3.938<BR>\n" );
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document.write( "Side = 2(3.938) = 7.876<BR>\n" );
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document.write( "Area = 7.376^2 + .5*pi*3.936^2<BR>\n" );
document.write( "Area = 62.03 + 24.335<BR>\n" );
document.write( "Area = 86.365 sq mm </SPAN>\n" );
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