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bazaltina [42]
3 years ago
11

PLEASE HELP.........

Mathematics
1 answer:
marusya05 [52]3 years ago
4 0

Answer:

S =2\sqrt{3}r^{2}

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 * \frac{2}{\sqrt{3} }

because of this, the area of each triangle equals

(\frac{1}{2}) * (r *  \frac{2}{\sqrt{3} }) * r = \frac{r^{2} }{\sqrt{3} }

because there are 6 triangles, it is 6 times greater.

S=\frac{6r^{2} }{\sqrt{3} } = 2\sqrt{3}r^{2}

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