WAEC Mathematics 2011 Question 24

Question 24

Mensuration of Plane Shapes

A circle is divided into two sectors in the ratio 3:7. If the radius of the circle is 7 cm, calculate the length of the minor arc of the circle.

  1. A.18.85 cm
  2. B.13.20 cm
  3. C.12.30 cm
  4. D.11.30 cm
Show the answer and explanation

Answer: B (13.20 cm)

Explanation

The minor sector has 3/10 of 360° = 108°. Arc = 108/360 × 2 × 22/7 × 7 = 13.20 cm.