Respuesta :

Area of circle = πr²

Area of the full circle = π (6)² = 36π

Area of the sector = 165/360 x 36π = 51.8 in²

Answer: 51.8 in²
area of full circle with a radius of 6 in = PI x 6^2

3.14 x 36 = 113.04 square inches

the shape is 165 degrees of a full circle which is 360 degrees

so area of the shape would be 165/360 x 113.04

= 51.8 square inches