WAEC Mathematics 2005 Question 30

Question 30

Mensuration of Plane Shapes

An arc of a circle of radius 14 cm subtends angle 300° at the centre. Find the perimeter of the sector formed by the arc. (Take π = 22/7)

  1. A.14.67 cm
  2. B.42.67 cm
  3. C.101.33 cm
  4. D.513.33 cm
Show the answer and explanation

Answer: C (101.33 cm)

Explanation

Arc = 300/360 × 2 × 22/7 × 14 = 73.33 cm. Perimeter = 73.33 + 14 + 14 = 101.33 cm.