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An arc of a circle subtends an angle of 30o on ... - JAMB Mathematics 2003 Question

An arc of a circle subtends an angle of 30o on the circumference of a circle of radius 21cm. Find the length of the arc.

A
11cm
B
22cm
C
44cm
D
66cm
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Correct Option: B

θ = 30 x 2(∠ at center twice ∠ at θ)

∴ θ = 60o

Length of arc = (\frac{\theta}{360}\times 2\pi r\

=\frac{60}{360}\times 2 \times \frac{22}{7}\times \frac{21}{1}\

=22cm)

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