Question

Find the area of the lighter shaded region.

Answer 1

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

Answer 2

A=1/2(150-sin150)r^2
A=66