Answer:
3π ≈ 9.42 square units
Explanation:
The figure shows 3/4 of a circle. So, its area will be 3/4 the area of a circle with radius 2 units.
Area formula
The formula for the area of a circle is ...
A = πr²
Using the given radius of 2, the area is ...
A = π(2²) = 4π
The area of the shape is 3/4 of that, or ...
shape area = (3/4)(4π) = 3π ≈ 9.42 . . . square units