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" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "https://ibb.co/FqLkNgg<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #832933 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=832933\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Consider this shaded area in red<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=math_tutor2020&illustration_name=Screenshot_193a.png\"><BR>\n" );
document.write( "The angle DOF is 60 degrees as the other tutors have pointed out.<BR>\n" );
document.write( "This means the red shaded pizza slice area is 60/360 = 1/6 of a full circle's area of radius 2.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "full circle area = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2+=+pi%2A2%5E2+=+4pi ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2+=+pi%2A2%5E2+=+4pi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1/6 of that full area = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F6%29%2A4pi+=+2pi%2F3 ALIGN=MIDDLE  ALT=\"%281%2F6%29%2A4pi+=+2pi%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The area of the red shaded region shown above is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2pi%2F3 ALIGN=MIDDLE  ALT=\"2pi%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > square cm.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Then subtract off the area of triangle DOF<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282pi%29%2F3+-+sqrt%283%29%2F2 ALIGN=MIDDLE  ALT=\"%282pi%29%2F3+-+sqrt%283%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This represents the blue shaded region below<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=math_tutor2020&illustration_name=Screenshot_194a.png\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Quadruple this result since there are 4 identical symmetric (i.e. mirrored) such regions<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A%28+%282pi%29%2F3+-+sqrt%283%29%2F2+%29 ALIGN=MIDDLE  ALT=\"4%2A%28+%282pi%29%2F3+-+sqrt%283%29%2F2+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8pi%2F3+-+2%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"8pi%2F3+-+2%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Then subtract this from the full circle area <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4pi+-+%288pi%2F3+-+2%2Asqrt%283%29%29 ALIGN=MIDDLE  ALT=\"4pi+-+%288pi%2F3+-+2%2Asqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4pi+-+8pi%2F3+%2B+2%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"4pi+-+8pi%2F3+%2B+2%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12pi%2F3+-+8pi%2F3+%2B+2%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"12pi%2F3+-+8pi%2F3+%2B+2%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4pi%2F3+%2B+2%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"4pi%2F3+%2B+2%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That is the area between the vertical lines. <BR>\n" );
document.write( "It is the area of region ABCD.<BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );