Answer:
121.5sqrt(3)
Step-by-step explanation:
Ok, so all regular hexagons are made out of 6 equilateral triangles. If the hexagon is inscribed in the circle, the radius lines up with a side of one of the 6 equilateral triangles and you get 6 equilateral triangles with a side length of 9.
The formula for an equilateral triangle's area is (a/2)^2 * sqrt(3) where a = side length. That means we just plug in 9 to find the area of one of these six triangles. We get 20.25sqrt(3).
We multiply this by 6 (to find the sum of the areas of 6 equilateral triangles) and get 121.5sqrt(3)
