document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183412>Question 1183412</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sector with an angle 110 degrees at the center of a circle is cut away from a circular piece of paper of radius 70cm. The remaining part is folded to form a cone. Find 1. the vertical angle of the cone 2. The angle of the sector.<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 #853594 by </B><A HREF=/tutors/aboutme.mpl?userid=CPhill><B>CPhill(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CPhill><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=CPhill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=853594\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Length of arc = +%28%28theta%29%2F360%29%2A+%28pi%29%2Ad%29<BR>\n" );
document.write( "length of arc p = 110/360 (2*pi*70)<BR>\n" );
document.write( "p= 1540/36 * pi<BR>\n" );
document.write( "area of major arc = (140 *pi -(1540/36)*(pi))<BR>\n" );
document.write( "= 97.2 *pi<BR>\n" );
document.write( "The area of major arc is the circumference of the base of cone<BR>\n" );
document.write( "97.2*pi = d *pi<BR>\n" );
document.write( "d= 97.2<BR>\n" );
document.write( "r = 48.6<BR>\n" );
document.write( "Now the radius of the circle becomes the slant height of the cone<BR>\n" );
document.write( "height of cone h=+sqrt%28l%5E2-r%5E2%29<BR>\n" );
document.write( "height of cone = sqrt%2870%5E2-48.6%5E2%29<BR>\n" );
document.write( "height of cone = 50.37<BR>\n" );
document.write( "we know radius and height angle of cone can be calculated<BR>\n" );
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