Answer:
The area of the lighter shaded region = 38.1 cm²
Step-by-step explanation:
It is given a circle with a sector and a triangle
Radius of circle = 6 cm
To find the area of sector
Area of circle = πr²
= 3.14 * 6²
= 3.14 * 36
= 113.04 cm²
Central angle of sector = 150°
Area of sector = area of circle (150/360)
= 113.04 *(150/360)
= 47.1 cm²
To find the area of triangle
Area of this triangle = (1/2)r²Sinθ
= (1/2) * 6² * Sin(150)
= 9 cm²
To find the area of the lighter shaded region
Area of lighter shaded region = Area of sector - area of triangle
= 47.1 - 9
= 38.1 cm²
