A sector of a circle of radius 14cm containing an angle 60 o is folded
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. \(2\frac{1}{3}cm\)
Correct Answer: D. \(2\frac{1}{3}cm\)
Explanation
\(r=\frac{\theta \times l}{360^{\circ }}\\
r=?, \theta =60^{\circ }\), l = radius of the orginal sector of a circle = 14cm
\(r=\frac{60\times 14}{360}=\frac{7}{3}=2\frac{1}{3}cm\)
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