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WAEC Mathematics 2005 Question 45

Question 45

Mensuration of Plane Shapes

XOY is a sector of a circle centre O of radius 3.5 cm which subtends an angle of 144° at the centre. Calculate, in terms of π, the area of the sector.

  1. A.1.4π cm2
  2. B.2.8π cm2
  3. C.4.9π cm2
  4. D.9.8π cm2
Show the answer and explanation

Answer: C (4.9π cm2)

Explanation

Area = 144/360 × π × 3.52 = 0.4 × 12.25π = 4.9π cm2.