Question on: JAMB Mathematics - 1990

The angle of a sector of s circle, radius 10.5cm, is 48 o, Calculate the perimeter of the sector

A
8.8cm
B
25.4cm
C
25.6cm
D
28.8cm
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Correct Option: D

Length of Arc AB = (\frac{\theta}{360}) 2(\pi)r

= (\frac{48}{360}) x 2(\frac{22}{7}) x (\frac{21}{2})

= (\frac{4 \times 22 \times \times 3}{30}) (\frac{88}{10}) = 8.8cm

Perimeter = 8.8 + 2r

= 8.8 + 2(10.5)

= 8.8 + 21

= 29.8cm

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