Answer:
S
=2[tex]\sqrt{3}r^{2}[/tex]
plus in the 9 and theres your answer
Step-by-step explanation:
ok lets see here after some research
So a hexagon can be split into 6 equilateral triangles right? well,
each base of each triangle is equal to r * [tex]\frac{2}{\sqrt{3} }[/tex]
because of this, the area of each triangle equals
([tex]\frac{1}{2}[/tex]) * (r * [tex]\frac{2}{\sqrt{3} }[/tex]) * r = [tex]\frac{r^{2} }{\sqrt{3} }[/tex]
because there are 6 triangles, it is 6 times greater.
S=[tex]\frac{6r^{2} }{\sqrt{3} }[/tex] = 2[tex]\sqrt{3}[/tex][tex]r^{2}[/tex]
