document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=193226>Question 193226</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A semicircular window of radius 12 inches is to be laminated with a sunblck coating that costs $0.75 per square inch to apply. What is the total cost of coating the window, to the nearest cent? (use n=3.24,Hint: Area of circle: A=nr^2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #145087 by </B><A HREF=/tutors/aboutme.mpl?userid=MathGuyJoe><B>MathGuyJoe(20)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathGuyJoe><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=145087\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since the area of a circle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+pi%2Ar%5E2+ ALIGN=MIDDLE  ALT=\"+A+=+pi%2Ar%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the area of a semi-circle is half that, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28pi%2Ar%5E2%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+%28pi%2Ar%5E2%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "\n" );
document.write( "In this case, the radius (r) of the semi-circle is 12 in.  Substituting in we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+%28pi+%2A+12%5E2%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+A+=+%28pi+%2A+12%5E2%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > sq. in.\r<BR>\n" );
document.write( "\n" );
document.write( "Simplifying gives us:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+%28144%2Api+%2F+2%29+ ALIGN=MIDDLE  ALT=\"+A+=+%28144%2Api+%2F+2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > sq. in., or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+72%2Api+ ALIGN=MIDDLE  ALT=\"+A+=+72%2Api+\"   DISABLED_style= \"max-width:90%; height:auto;\" > sq. in.\r<BR>\n" );
document.write( "\n" );
document.write( "Substituting 3.14 in for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > gives us:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+226.08+ ALIGN=MIDDLE  ALT=\"+A+=+226.08+\"   DISABLED_style= \"max-width:90%; height:auto;\" > sq. in.\r<BR>\n" );
document.write( "\n" );
document.write( "This is the window's area, in square inches.  Multiplying this by the laminate's price per square inch gives you a cost of:\r<BR>\n" );
document.write( "\n" );
document.write( "226.08 * $0.75 = <font color=\"blue\">$169.56</font><BR>\n" );
document.write( "<br><BR>\n" );
document.write( "Hope this helps,<BR>\n" );
document.write( "<br><BR>\n" );
document.write( "~ Joe </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );