Respuesta :

Answer:

  33π square units

Step-by-step explanation:

The area of a sector is given by this formula. The larger sector angle is 2π-π/6 = 11π/6 radians.

  A = (1/2)r²θ = (1/2)6²(11π/6) = 33π . . . . square units

Answer:

Area of larger sector = 33π units²

Step-by-step explanation:

Points to remember

Area of circle = πr²

Where 'r' is the radius of circle

To find the area of circle

Here r = 6 units

Area =  πr²

 = π * 6²

 =  36π units²

To find area of large sector

The central angle of larger sector = 360 - 30 = 330

Area of larger circle = (330/360) * area of circle

 =  (330/360) * 36π

 = 33π units²