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A circular sheet is folded into four quadrants. A cone is then made by taking three folds on one side and the fourth one on other side. Find the vertical angle of the cone thus formed. Ans 60 degree
Asked by rushabhjain.a | 09 Dec, 2018, 12:08: PM
As shown in figure, 3-quarters of circular sheet is folded like half-circle and after that cone is made.

slant height of the cone is same as radius of circular sheet.

Base radius of cone = Circumference/(2π) =   πr / (2π) = r/2

hence half-angle of cone : sinθ = (r/2)/r = 1/2  , hence θ = 30°

hence angle of cone = 60°
Answered by Thiyagarajan K | 21 Dec, 2018, 01:59: PM

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