Answer:the area of the shaded Portion is 64π/3 square centimeters
Step-by-step explanation:
The shaded portion of the circle is a sector with a central angle of 120 degrees.
The formula for determining the area of a sector is expressed as
Area of sector = #/360 × πr^2
Where
# represents the central angle
r represents the radius of the circle.
The radius of the given circle is 8cm.
Area of sector = 120/360 × π × 8^2
= 1/3 × π × 64
= 64π/3 square centimeters
