**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

**<u>To find the area of sector</u>**

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

**<u>To find the area of triangle</u>**

Area of this triangle = (1/2)r²Sinθ

= (1/2) * 6² * Sin(150)

= 9 cm²

**<u>To find the area of the lighter shaded region</u>**

Area of lighter shaded region = Area of sector - area of triangle

= 47.1 - 9

= 38.1 cm²