document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1034621>Question 1034621</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given a circle in which the diameter AB equals 4cm. If two points C and D lie on the circle and the angle ABC= 18 degrees and angle BAD=36 degrees, find the length of the major arc CD.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Thank u in advanced! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #649374 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52798)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=649374\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Given a circle in which the diameter AB equals 4cm. If two points C and D lie on the circle and the angle ABC= 18 degrees <BR>\n" );
document.write( "and angle BAD=36 degrees, find the length of the major arc CD.<BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The answer and the situation depend on whether the points C and D lie in one side of the diameter AB or in different sides of AB.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1. &nbsp;Let's assume that the points A and B lie in one side of the diameter AB.<BR>\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;Let O be the center of the given circle.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "Since the measure of an inscribed angle in a circle is half the measure of the corresponding central angle, we have \r\n" );
document.write( "\r\n" );
document.write( "   the measure of the central angle AOC is equal to 2*18° = 36°, and \r\n" );
document.write( "   the measure of the central angle BOD is equal to 2*36° = 72°.\r\n" );
document.write( "\r\n" );
document.write( "Thus the measure of the central angle COD is 180° - 36° - 72° = 72°, and \r\n" );
document.write( "   \r\n" );
document.write( "    the measure of the major arc CD is 72°.\r\n" );
document.write( "</PRE>\r<BR>\n" );
document.write( "\n" );
document.write( "2. &nbsp;If the points A and B lie in different sides of the diameter AB then\r<BR>\n" );
document.write( "\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "   the measure of the major arc CD is 180° + 36° - 72° = 144°.\r\n" );
document.write( "</PRE>\r<BR>\n" );
document.write( "\n" );
document.write( "<U>Answer</U>. &nbsp;&nbsp;Two answers: 72° and/or 144°.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );