The area of the shaded sector of the circle is: 4π/3 units².
What is the Area of a Sector?
Area of sector of a circle = ∅/360 × πr², where r is the radius of the circle and ∅ is the central angle.
Given:
∅ = 120°
r = FG = 2
Thus:
Area of sector of a circle = 120/360 × π(2²)
Area of sector of a circle = 1/3 × π(4)
Area of sector of a circle = 4π/3 units²
Thus, the area of the shaded sector of the circle is: 4π/3 units².
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