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

Assessment: JAMB UTME - Mathematics - 2003 Subject: General Mathematics

Question 1 Report

An arc of a circle subtends an angle of 30 $^{\circ}$ on the circumference of a circle of radius 21cm. Find the length of the arc.

11cm

22cm

44cm

66cm

Answer Details

θ = 30 x 2(∠ at center twice ∠ at θ)
∴ θ = 60 $^{\circ}$
Length of arc = $\frac{θ}{360} \times 2 π r = \frac{60}{360} \times 2 \times \frac{22}{7} \times \frac{21}{1} = 22 c m$

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