WAEC Mathematics 2015 Question 14

Question 14

Mensuration of Plane Shapes

A sector of a circle with radius 6 cm subtends an angle of 60° at the centre. Calculate its perimeter in terms of π.

  1. A.2(π + 6) cm
  2. B.2(π + 3) cm
  3. C.2(π + 2) cm
  4. D.(π + 12) cm
Show the answer and explanation

Answer: A (2(π + 6) cm)

Explanation

Arc = 60/360 × 2π × 6 = 2π. Perimeter = 6 + 6 + 2π = 2(π + 6) cm.