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JAMB Mathematics 1978 Question 30

Question 30

Mensuration of Plane Shapes

A regular hexagon is constructed inside a circle of diameter 12cm. The area of the hexagon is

  1. A.36πcm2
  2. B.36/π cm2
  3. C.54√3 cm2
  4. D.54/√3 cm2
  5. E.54√3 πcm2.
Show the answer and explanation

Answer: C (54√3 cm2)

Explanation

The hexagon is six equilateral triangles of side 6cm (the radius). Area = 6 × (√3/4) × 36 = 54√3cm².