WAEC Mathematics 2001 Question 45

Question 45

Mensuration of Plane Shapes

A sector of a circle radius 14 cm subtends an angle 135° at the centre of the circle. What is the perimeter of the sector? [Take π = 22/7].

  1. A.47 cm
  2. B.61 cm
  3. C.88 cm
  4. D.231 cm
Show the answer and explanation

Answer: B (61 cm)

Explanation

Arc = 135/360 × 2 × 22/7 × 14 = 33 cm. Perimeter = 33 + 14 + 14 = 61 cm.