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JAMB Mathematics 2004 Question 28

Question 28

Mensuration of Plane Shapes

An arc of a circle of length 22cm subtends an angle of 3x° at the centre of the circle. Find the value of x if the diameter of the circle is 14cm. [π = 22/7]

  1. A.30°
  2. B.60°
  3. C.120°
  4. D.180°
Show the answer and explanation

Answer: B (60°)

Explanation

The circumference is 44cm, so the arc is half the circle: 3x = 180 and x = 60.