- A27√
- B108√
- C36√
- D54√
Step-by-Step Solution
The six radii cut the hexagon into six triangles, each with two sides of 6 cm and an included angle of 360°/6 = 60°. Each has area ·sin60° = 9√3, so the hexagon is √3 = 54√3 ≈ . Forgetting the (1/2) in the area formula doubles it to 108√3.
Answer: D) 54√