JAMB Mathematics 1990 Question 32

Question 32

Mensuration of Plane Shapes

The angle of a sector of a circle, radius 10.5cm, is 48°. Calculate the perimeter of the sector

  1. A.8.8cm
  2. B.25.4cm
  3. C.25.6cm
  4. D.29.8cm
Show the answer and explanation

Answer: D (29.8cm)

Explanation

Arc length = 48/360 × 2 × 22/7 × 10.5 = 8.8cm. Perimeter = arc + two radii = 8.8 + 21 = 29.8cm.