WAEC Mathematics 2024 Question 43

Question 43

Mensuration of Plane Shapes

The area of a sector of a circle with radius 7 cm is 51.3 cm2. Calculate, correct to the nearest whole number, the angle of the sector. [Take π = 22/7]

  1. A.60°
  2. B.120°
  3. C.150°
  4. D.180°
Show the answer and explanation

Answer: B (120°)

Explanation

θ/360 × 22/7 × 49 = 51.3, so θ = 51.3 × 360 ÷ 154 ≈ 119.9 ≈ 120°.