What is the area (in sq cm) of a regular hexagon of side 16 cm?

The correct answer is Option (1) → \(384\sqrt{3}\)

Lines from the centre to the six corners divide a regular hexagon into 6 equilateral triangles with the same side as the hexagon.

• Area of one triangle \(\displaystyle =\frac{\sqrt{3}}{4}\times16^2=64\sqrt{3}\) sq cm

• Area of the hexagon \(=6\times64\sqrt{3}=384\sqrt{3}\) sq cm