The area of a regular hexagon of side 2√3 cm is
2018
The area of a regular hexagon of side 2√3 cm is
- A.
12√3 cm 2
- B.
18√2 cm 2
- C.
18 cm 2
- D.
18√3 cm 2
Attempted by 50 students.
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Correct answer: D
Key fact: A regular hexagon can be divided into 6 equilateral triangles.
Formula for area of a regular hexagon: Area = (3√3 / 2) · a²
Given side length a = 2√3 cm.
Compute a²: (2√3)² = 4 × 3 = 12.
Substitute into the formula: Area = (3√3 / 2) × 12 = 3√3 × 6 = 18√3.
Answer: The area of the regular hexagon is 18√3 cm².