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Calculate the length in cm of the area of a cir... - JAMB Mathematics 1993 Question

Calculate the length in cm. of the area of a circle of diameter 8cm which subtends an angle of 22(\frac{1}{2})o at the centre of the circle

A
2\(\pi\)
B
\(\pi\)
C
\(\frac{2}{3}\)
D
\(\frac{\pi}{2}\)
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Correct Option: D

Diameter = 8cm

∴ Radius = 4cm

Length of arc = (\frac{\theta}{360}) x 2 (\pi)r but Q = 22(\frac{1}{2})

∴ Length (\frac{22\frac{1}{2}}{360}) x 2 x (\pi) x 4

= (\frac{22\frac{1}{2} \times 8\pi}{360})

= (\frac{180}{360})

= (\frac{\pi}{2})

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