SOLUTION: 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 ver
Algebra.Com
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.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Length of arc =
length of arc p = 110/360 (2*pi*70)
p= 1540/36 * pi
area of major arc = (140 *pi -(1540/36)*(pi))
= 97.2 *pi
The area of major arc is the circumference of the base of cone
97.2*pi = d *pi
d= 97.2
r = 48.6
Now the radius of the circle becomes the slant height of the cone
height of cone
height of cone =
height of cone = 50.37
we know radius and height angle of cone can be calculated
RELATED QUESTIONS
A circular piece of paper has a radius of 15 in, which is cut off at a 90 degree angle.... (answered by scott8148)
A cone of base radius 7cm was made from a sector of a circle which subtends an angle of... (answered by mananth)
A paper cone of circular base diameter 10cm and height 12cm, is flattened out into the... (answered by ikleyn)
The area of a sector of a circle with the radius 7cm is 15 square cm. Find the measure of (answered by Theo)
the area of a sector of a circle with radius 7 cm is 15 square cm .find the measure of... (answered by ankor@dixie-net.com)
A sector of a circle with a radius of 216 ft has an angle of 110 degrees and is 5" deep. (answered by mananth)
how can I calculate the volume of a cone from a circle sector with an angle measure of 90 (answered by josgarithmetic)
The area of a sector of a circle with a central angle of 150 degrees is 9ft^2 . Find the (answered by stanbon)
A circular sheet of paper of radius 6 cm is cut into three equal sectors, and each sector (answered by Earlsdon)