JAMB Mathematics 1982 Question 47

Question 47

Mensuration of Plane Shapes

Two distinct sectors in the same circle subtend 100° and 30° respectively at the centre of the circle. Their corresponding arcs are in the ratio

  1. A.1:100
  2. B.3:1
  3. C.5:2
  4. D.10:3
  5. E.13:30.
Show the answer and explanation

Answer: D (10:3)

Explanation

In the same circle, arc length is proportional to the angle at the centre: 100 : 30 = 10 : 3.