Question

Find the area of a regular hexagon each of whose sides measures $5\text{cm}$. $(\sqrt{3}=1.732)$

• A. $64.95{\text{cm}}^2$
• B. $69.95{\text{cm}}^2$
• C. $64.95{\text{m}}^2$
• D. None of these

Answer 1

The correct option is A $64.95{\text{cm}}^2$

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

where $a$ is the side of the hexagon

Area of hexagon$=6\times \frac{\sqrt{3}}{4}\times 5\times 5{\text{cm}}^2$

$=$ $\frac{3\times 1.732\times 5\times 5}{2}{\text{cm}}^2=64.95{\text{cm}}^2$