Question

Could someone please help me find the area of the hexagon inside this figure? Thanks!

Answer 1

Area of the hexagon is 374.12 square cm

Step-by-step explanation:

Hexagon has 6 sides

Let n = number of sides

a = length of each hexagon

a = 12 cm

The area of a hexagon is given below

`\begin{gathered} A\text{ = 3}\frac{\sqrt[]{3}}{2}a^2 \\ a\text{ = 12cm} \\ A\text{ = 3}\frac{\sqrt[]{3}}{2}\cdot12^2 \\ A\text{ = 3 }(1.732)/(2)\cdot\text{ 144} \\ A\text{ = }(5.196)/(2)\cdot\text{ 144} \\ A\text{ = }2.598\cdot\text{ 144} \\ A\text{ = }374.12cm^2 \end{gathered}`

Therefore, the area of a hexagon is 374.12 square cm