Answer:
Area of shaded region = 13.07 unit² (Approx.)
Step-by-step explanation:
Given:
Given shaded region is a segment
Radius of circle = 12
Given angle = 60°
Find:
Area of shaded region
Computation:
Area of shaded region = Area of segment
Area of segment = (θ/360)(π)(r²) - (1/2)(sinθ)(r²)
Area of segment = (60/360)(22/7)(12²) - (1/2)(sin60)(12²)
Area of segment = (0.1667)(3.14)(144) - (0.5)(0.866)(144)
Area of segment = (75.42) - (62.35)
Area of segment = 13.07 unit²
Area of shaded region = 13.07 unit² (Approx.)
