JAMB Mathematics 1985 Question 36

Question 36

Mensuration of Plane Shapes

Find the area of a regular hexagon inscribed in a circle of radius 8cm.

  1. A.16√3cm2
  2. B.96√3cm2
  3. C.192√3cm2
  4. D.16cm2
  5. E.32cm2.
Show the answer and explanation

Answer: B (96√3cm2)

Explanation

The hexagon is six equilateral triangles of side 8cm: 6 × (√3/4) × 64 = 96√3cm².