passpadi

2003

Mathematics

JAMB

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.

A.

11cm

B.

22cm

C.

44cm

D.

66cm

Correct Answer: 22cm

Explanation

θ = 30 x 2(∠ at center twice ∠ at θ) ∴ θ = 60° Length of arc = θ/360 x 2πr = 60/360 x 2 x 22/7 x 21/1 = 22cm

θ = 30 x 2(∠ at center twice ∠ at θ) ∴ θ = 60° Length of arc = θ/360 x 2πr = 60/360 x 2 x 22/7 x 21/1 = 22cm
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