What is the area of the shaded sector if the circle has a radius of 3 and the central angle is 60 degrees?

If the angle at the centre is 60° then the sector occupies 1/6 of the circle as 60/360 = 1/6.

The area of a circle = πr²

The area of the sector = 1/6.π3² = 9/6.π = 4.712 square units.