GCE Mathematics 1990 Question 25

Question 25

Mensuration of Plane Shapes

A sector of a circle of radius 7cm has an area of 44cm2. Calculate the angle of the sector, correct to the nearest degree. (Take π = 22/7)

  1. A.6°
  2. B.26°
  3. C.52°
  4. D.103°
  5. E.206°
Show the answer and explanation

Answer: D (103°)

Explanation

θ/360 × 22/7 × 72 = 44 gives θ/360 × 154 = 44, so θ = 102.9° ≈ 103°.