Question 8
Mensuration of Plane ShapesA rectangular hexagon is constructed inside a circle of a diameter 12 cm. Calculate the area of the hexagon
- A.36π cm2
- B.36√3 cm2
- C.54√3 cm2
- D.54π cm2
Show the answer and explanation
Answer: C (54√3 cm2)
Explanation
A regular hexagon in a circle of radius 6 cm splits into 6 equilateral triangles of side 6. Area = 6 × ½ × 6 × 6 × sin 60° = 54√3 cm².