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A sector of a circle of radius 14cm containing an angle 60o is folded to...

Mathematics
WAEC 2007

A sector of a circle of radius 14cm containing an angle 60o is folded to form a cone. Calculate the radius of the base of the cone
  • A. 5\(\frac{1}{2}cm\)
  • B. 4\(\frac{2}{3}cm\)
  • C. 3\(\frac{1}{2}cm\)
  • D. 2\(\frac{1}{3}cm\)
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Correct Answer: Option D
Explanation
Length of arc = circumference of the base of the

cone \(\frac{\theta}{360} \times 2\pi R = 2 \pi r\)

\(\frac{\theta R}{360}\) = r

r = \(\frac{60 \times 14}{360}\)

= \(\frac{7}{3} = 2\frac{1}{3}\)cm

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