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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
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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