9514 1404 393
Answer:
280.6 square units
Explanation:
The formula for the area of an n-gon with radius r is useful here:
A = (n/2)r²sin(360°/n)
For your hexagon (n=6) with radius r=6√3, the area is ...
A = (6/2)(6√3)²sin(360°/6) = 324sin(60°) = 162√3 ≈ 280.6 . . . square units