Respuesta :

sqdancefan

9514 1404 393

Answer:

  120π square units

Step-by-step explanation:

The area of a sector is given by ...

  A = 1/2r²θ . . . . . where r is the radius, and θ is the central angle in radians

Here, a sector of angular measure 60°(π/180°) = π/3 radians is shaded. Then the unshaded sector is 2π -π/3 = 5π/3 radians.

Its area is ...

  A = 1/2(12²)(5π/3) = 120π . . . square units

The area of the sector that is not shaded is 120π units².

Area of a sector

  • area = ∅/ 360 × πr²

where

r = radius

∅ = central angle

Therefore, the area of the unshaded portion can be found as follows:

∅= 300

r = 12 units

area of the unshaded sector =  300 / 360 × 3.14 × 12²

area of the unshaded sector =  300 / 360 × π × 144

area of the unshaded sector =  43200 / 360

area of the unshaded sector =  120π units²

learn more on sector here: https://brainly.com/question/21181702