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A cone is made from a sector of circle of radius 14cm and angle of…

A cone is made from a sector of circle of radius 14cm and angle of 90^o. What is the area of the curved surface of the cone? (Take x = 22/7)

A.
22cm²
B.
38.5cm²
C.
77cm²
D.
154cm²
E.
308cm²

Correct Answer: Option D

Explanation

Length of arc =

θ/360

* 2πr

=> r =

90/360

*

14/4

= 3.5

slant height t = 14cm
curved surface area of cone = πrl
=> 3.142 x 3.5 x 14 = 153.95