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WAEC Mathematics 2014 Question 39

Question 39

Mensuration of Plane Shapes

A chord subtends an angle of 120° at the centre of a circle of radius 3.5 cm. Find the perimeter of the minor sector containing the chord. [Take π = 22/7].

  1. A.14⅓ cm
  2. B.12⅚ cm
  3. C.8⅐ cm
  4. D.7⅓ cm
Show the answer and explanation

Answer: A (14⅓ cm)

Explanation

Arc = 120/360 × 2 × 22/7 × 3.5 = 22/3 cm. Perimeter = 22/3 + 3.5 + 3.5 = 14⅓ cm.