GCE Mathematics 1989 Question 18

Question 18

Mensuration of Plane Shapes

An arc of a circle radius 7cm is 14cm long. What angle does the arc subtend at the centre of circle? (Take π = 22/7)

  1. A.25.7°
  2. B.44°
  3. C.51.43°
  4. D.98°
  5. E.114.55°
Show the answer and explanation

Answer: E (114.55°)

Explanation

θ/360 × 2 × 22/7 × 7 = 14, so θ/360 × 44 = 14 and θ = 14/44 × 360 = 114.55°.