passpadi

2004

Mathematics

JAMB

An arc of a circle of length 22 cm subtends an angle of 3x° at the center of the circle. Find the value of x if the diameter of the circle is 14 cm

A.

60°

B.

120°

C.

180°

D.

30°

Correct Answer: 60°

Explanation

ARClength=(θ/360) ×2πr. 22 = 3x/360 × (2× (22/7) × (7/1)). 3x=180. x=180/3 x=60∘

ARClength=(θ/360) ×2πr. 22 = 3x/360 × (2× (22/7) × (7/1)). 3x=180. x=180/3 x=60∘
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