document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206922>Question 1206922</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the area of the shaded regions. Express the answer as a single fraction in simplest terms. https://imgur.com/a/gROF8I8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #844647 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=844647\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Focus entirely on the semicircle up top.\r<BR>\n" );
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document.write( "A full circle has area of pi*r^2<BR>\n" );
document.write( "r = radius\r<BR>\n" );
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document.write( "Half of which is 0.5*pi*r^2 and this is the area of a semicircle<BR>\n" );
document.write( "area = 0.5*pi*r^2<BR>\n" );
document.write( "area = 0.5*pi*12^2<BR>\n" );
document.write( "area = 72pi \r<BR>\n" );
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document.write( "Then find the area of the right triangle that resides inside the upper semicircle.<BR>\n" );
document.write( "area = 0.5*base*height<BR>\n" );
document.write( "area = 0.5*(2*12)*9<BR>\n" );
document.write( "area = 108\r<BR>\n" );
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document.write( "Subtract the two results to get the answer.<BR>\n" );
document.write( "shadedArea = semicircleArea - triangleArea<BR>\n" );
document.write( "shadedArea = <font color=red>72pi - 108</font><BR>\n" );
document.write( "The units for the area are \"square centimeters\".\r<BR>\n" );
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document.write( "To get an approximate version of the answer, replace pi with something like 3.14<BR>\n" );
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