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

Mathematics
WAEC 1988
A cone is made from a sector of circle of radius 14cm and angle of 90o. 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
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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
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