The area of the shaded part is 7.5π
The area of the shaded part is obtained by subtracting the area of the sector from area of the circle.
π/3 =180/3= 60
Area of sector = 60/360 × π × 3²
= 1/6 × π × 9
= 9π/6
= 3/2π
area of a circle = πr²
where r is the radius of the circle.
= 9π
area of the shaded part = 9π - 3/2π
= 7.5π
Therefore the area of the shaded part is 7.5π