WAEC Mathematics 1996 Question 25

Question 25

Mensuration of Plane Shapes

The angle of a sector of a circle of radius 35cm is 288°. Find the perimeter of the sector [Take π = 22/7]

  1. A.246cm
  2. B.211cm
  3. C.141cm
  4. D.114cm
  5. E.44cm
Show the answer and explanation

Answer: A (246cm)

Explanation

Arc = 288/360 × 2 × 22/7 × 35 = 0.8 × 220 = 176 cm. Perimeter = arc + two radii = 176 + 70 = 246 cm.