Answer:
27π units^2
Explanation:
This shape is exactly 3/4 of a full circle. Thus, if we find the area of a full circle with radius 6 units, we multiply the result by 3/4 to obtain the area of the figure shown.
A of full circle = πr²
In this particular case,
A of full circle = π(6 units)² = 36π units^2
Then the area of the given figure is
(3/4)(36π) units^2, or 27π units^2.