Mary has a circular garden with a regular hexagonal lawn inscribed in it.

Question

The lawn was from sqrt 108 square meters of turf. What is the diameter of the garden?

here is the link to the figure, please remove the spaces

https :// docs .google .com /document /d/ 1Oj456luRjZF7H-YqZ5x6VzwQMxBJHc4nZKEM4ZuFiys /edit?usp=sharing

Answer 1

The area of the hexagon is made of 6 equilateral triangles. The area of each is √108 / 6.

That area is r²sin 60°,

r²(√3)/2 = √108 / √36

r²√3 = √3

r² = 1

r = 1

The diameter of the circle/garden is 2.

Answer 2

I can't get the program. This is what I came-up with:

r^2*pi=108 (area)

/3.14=34.377

^.5=5.863

*2=11.726=diameter