Question

The side of a regular hexagon is 'p' cm, then its area is

• A. $\frac{\sqrt{3}}{2}{p}^{2}c{m}^2$
• B. $\frac{3\sqrt{3}}{2}{p}^{2}c{m}^2$
• C. $2\sqrt{3}{p}^{2}c{m}^2$
• D. $6p^{2}c{m}^2$

Answer 1

The correct option is B $\frac{3\sqrt{3}}{2}{p}^{2}c{m}^2$

As we know that there are $6$ equilateral triangle in a regular hexagon.

Hence,

Area of a regular hexagon $=\frac{\sqrt{3}}{4}{p}^2\times 6$

$\Rightarrow$ $\frac{3\sqrt{3}}{2}{p}^{2}c{m}^2$.