Question

PLEASE HELP.........

Answer 1

S =2
`√(3)r^(2)`

plus in the 9 and theres your answer

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 *
`(2)/(√(3) )`

because of this, the area of each triangle equals

(
`(1)/(2)`) * (r *
`(2)/(√(3) )`) * r =
`(r^(2) )/(√(3) )`

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

S=
`(6r^(2) )/(√(3) )` = 2
`√(3)`
`r^(2)`