The area shaded region expressed as a fraction times π is 17/2 × π square units
What is the area of the shaded region?
Area of a circle = πr²
= π × 3²
= π × 9
= 9π
Area of a sector = 1/2 × r × arc length
= 1/2 × 3 × ⅓π
= 3/6π
= 1/2π
Area of the shaded region = Area of a circle - Area of a sector
= 9π - ½π
= 18π - π/2
= 17/2π
Therefore, area of the shaded region is 17/2 × π