Question

if each side of a regular hexagon is 12 cm then area of hexagon is​

Answer 1

To find : area of hexagon

Given : each side of hexagon = $12\ cm$

Solution :  

• We know formula for area of hexagon is :

         $A = \frac{\sqrt[3]{3} }{2}\times side$

• Substituting the values in above formula :

        $A = \frac{\sqrt[3]{3} }{2} \times 12$

            $= \sqrt[3]{3}\times 6$

            $= \sqrt[18]{3} \ cm^{2}$

Hence , area of hexagon is $\sqrt[18]{3} cm^{2}$  or $31.17 \ cm^{2}$ .

Answer 2

Given,

If each side of a regular hexagon is $12cm$.

We have to find the area of hexagon

Formula,

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

According to the question,

Each side of a regular hexagon is $12 cm$, this means each side of the hexagon is equal

Now, substitute the values in above formula,

$= \frac{3\sqrt{3} }{2}\times (12)^{2}$

$=\frac{3\sqrt{3} }{2}\times144$

$= 3\times \sqrt{3} \times72$

$= 216\sqrt{3}cm^{2}$

Therefore, the area of a hexagon is $216\sqrt{3}cm^{2}$.