document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199182>Question 1199182</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the area of region ABCD in cm^2 if the radius of the circle is 2 cm and both AB and CD are perpendicular to EF. <BR>\n" );
document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-5%2C5%2C-5%2C5%2C%0D%0A%0D%0Acircle%280%2C0%2C4%29%2C+line%28-2%2C3.4641016%2C-2%2C-3.4641016%29%2C+line%282%2C3.4641016%2C2%2C-3.4641016%29%2C%0D%0Aline%28-5%2C0%2C5%2C0%29%2C+circle%280%2C0%2C.2%29%2C%0D%0Aline%28-3%2C-.5%2C-3%2C.5%29%2C+line%28-1%2C-.5%2C-1%2C.5%29%2Cline%281%2C-.5%2C1%2C.5%29%2C+line%283%2C-.5%2C3%2C.5%29%2C%0D%0Alocate%28-2.2%2C0%2CE%29%2C+locate%281.7%2C0%2CF%29%2C+locate%28-2.1%2C3.9%2CA%29%2Clocate%28-2.1%2C-3.5%2CB%29%0D%0A%0D%0Alocate%28-2.1%2B4%2C3.9%2CD%29%2Clocate%28-2.1%2B4%2C-3.5%2CC%29%2C+locate%28-.1%2C.6%2CO%29%0D%0A%0D%0A%0D%0A%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "https://ibb.co/FqLkNgg<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #832932 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=832932\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Also using Edwin's figure....<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-5%2C5%2C-5%2C5%2C%0D%0A%0D%0Acircle%280%2C0%2C4%29%2C+line%28-2%2C3.4641016%2C-2%2C-3.4641016%29%2C+line%282%2C3.4641016%2C2%2C-3.4641016%29%2C%0D%0Aline%28-5%2C0%2C5%2C0%29%2C+circle%280%2C0%2C.2%29%2C%0D%0Aline%28-3%2C-.5%2C-3%2C.5%29%2C+line%28-1%2C-.5%2C-1%2C.5%29%2Cline%281%2C-.5%2C1%2C.5%29%2C+line%283%2C-.5%2C3%2C.5%29%2C%0D%0Alocate%28-2.2%2C0%2CE%29%2C+locate%281.7%2C0%2CF%29%2C+locate%28-2.1%2C3.9%2CA%29%2Clocate%28-2.1%2C-3.5%2CB%29%0D%0A%0D%0Alocate%28-2.1%2B4%2C3.9%2CD%29%2Clocate%28-2.1%2B4%2C-3.5%2CC%29%2C+locate%28-.1%2C.6%2CO%29%2C%0D%0A%0D%0Ared%28line%28-2%2C-3.4641016%2C2%2C3.4641016%29%2Cline%282%2C-3.4641016%2C-2%2C3.4641016%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "OD is the radius, and OF is half the radius; that makes each of the four triangles in the figure 30-60-90 right triangles.  That means all six central angles are 60 degrees, so<br><BR>\n" );
document.write( "(1) The two circular sectors AOD and BOC are each one-sixth of the circle; together their areas are one-third the area of the circle, which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29pi ALIGN=MIDDLE  ALT=\"%284%2F3%29pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >; and<BR>\n" );
document.write( "(2) each of the two triangular regions AOB and COD is a triangle with base <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%283%29 ALIGN=MIDDLE  ALT=\"2sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and height 1; together their areas are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%283%29 ALIGN=MIDDLE  ALT=\"2sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "So the area of region ABCD is<br><BR>\n" );
document.write( "ANSWER: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29pi%2B2sqrt%283%29 ALIGN=MIDDLE  ALT=\"%284%2F3%29pi%2B2sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
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