document.write( "Question 1183412: 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.
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Algebra.Com's Answer #813743 by mananth(16946) $\"\"$ $\"About$

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Length of arc = $\"+%28%28theta%29%2F360%29%2A+%28pi%29%2Ad%29\"$
\n" ); document.write( "length of arc p = 110/360 (2*pi*70)\r
\n" ); document.write( "\n" ); document.write( "p= 1540/36 * pi\r
\n" ); document.write( "\n" ); document.write( "area of major arc = (140 *pi -(1540/36)*(pi))\r
\n" ); document.write( "\n" ); document.write( "= 97.2 *pi\r
\n" ); document.write( "\n" ); document.write( "The area of major arc is the circumference of the base of cone\r
\n" ); document.write( "\n" ); document.write( "97.2*pi = d *pi
\n" ); document.write( "d= 97.2
\n" ); document.write( "r = 48.6\r
\n" ); document.write( "\n" ); document.write( "Now the radius of the circle becomes the slant height of the cone\r
\n" ); document.write( "\n" ); document.write( "height of cone $\"h=+sqrt%28l%5E2-r%5E2%29\"$ \r
\n" ); document.write( "\n" ); document.write( "height of cone = $\"sqrt%2870%5E2-48.6%5E2%29\"$ \r
\n" ); document.write( "\n" ); document.write( "height of cone = 50.37\r
\n" ); document.write( "\n" ); document.write( "we know radius and height angle of cone can be calculated\r
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