Question on: WAEC Mathematics - 2013

An open cone with base radius 28cm and perpendicular height 96cm was stretched to form sector of a circle. calculate the arc of the sector (Take (\pi = \frac{22}{7}))

A
8800cm2
B
8448cm2
C
4400cm2
D
4224cm2
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Correct Option: A

L2 = 962 + 282

= 9216 + 784

= 10000

L = (\sqrt{10000})

= 100cm

curved surface area = (\pi r l)

= (\frac{22}{7} \times 28 \times 100)

= 8800cm2

area of cone = area of sector

area of sector = 8800cm2

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