document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1181243>Question 1181243</A>: <I><SPAN STYLE=\"word-break: break-all;\"> https://media.discordapp.net/attachments/723023718497910816/849268803228663808/unknown.png?width=447&height=121 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #811298 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=811298\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Look at the diagram with AC a side of the rhombus and the semicircle with center B on side AC and radius BD.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-1%2C5%2C-1%2C5%2C%0D%0Aline%280%2C0%2C3%2C0%29%2Cline%283%2C0%2C4.5%2C1.5%2Asqrt%283%29%29%2Cline%280%2C0%2C1.5%2C1.5%2Asqrt%283%29%29%2Cline%281.5%2C1.5%2Asqrt%283%29%2C4.5%2C1.5%2Asqrt%283%29%29%2Cgraph%28400%2C400%2C-1%2C5%2C-1%2C5%2Csqrt%28%281.3923%5E2-%28x-1.6077%29%5E2%29%29%29%2C%0D%0Aline%281.6077%2C0%2C0.4019%2C0.696%29%2C%0D%0Alocate%28-0.3%2C-0.1%2CA%29%2Clocate%281.6%2C-0.1%2CB%29%2Clocate%283.2%2C-0.1%2CC%29%2Clocate%280.2%2C0.9%2CD%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Let r be the radius of the semicircle, BD; BC is also a radius.<br><BR>\n" );
document.write( "Triangle ABD is a 30-60-90 right triangle in which the radius is the long leg.  That makes the length of AB <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Fsqrt%283%29%29r ALIGN=MIDDLE  ALT=\"%282%2Fsqrt%283%29%29r\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "But AB+BC=BC=3.  So<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28r%29%2B%28%282%2Fsqrt%283%29%29r%29=3 ALIGN=MIDDLE  ALT=\"%28r%29%2B%28%282%2Fsqrt%283%29%29r%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Use a calculator to solve that to find the radius; then use the formula for the area of a semicircle to get the answer to the problem.<br><BR>\n" );
document.write( "I leave that much of the problem to you.<br><BR>\n" );
document.write( "Note my result for the area of the semicircle is 3.045 square units, which is actually good to 4 decimal places.<br><BR>\n" );
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