GCE Mathematics 1990 Question 12

Question 12

Mensuration of Plane Shapes

An arc of length 22cm subtends an angle of θ at the centre of the circle. What is the value of θ if the radius of the circle is 15cm? (Take π = 22/7)

  1. A.70°
  2. B.84°
  3. C.96°
  4. D.156°
  5. E.168°
Show the answer and explanation

Answer: B (84°)

Explanation

θ/360 × 2 × 22/7 × 15 = 22, so θ = 22 × 360 × 7/(44 × 15) = 84°.