Question

3 m

150°
3. What is the area of the sector outlined by the dark line?
a. 150 m
b. 28.3 m
c. 11.8 m²
d. 3 m

Answer 1

Area of sector = 11.8 m² (Approx.)

Explanation:

Given:

Radius of a circle = 3 m

Given angle = 150°

Find:

Area of sector

Computation:

Area of sector = [θ/360][π][r]²

Area of sector = [150/360][22/7][3]²

Area of sector = [150/360][22/7][9]

Area of sector = [150/360][3.1428][9]

Area of sector = [0.4167][3.1428][9]

Area of sector = [1.345][9]

Area of sector = 11.789

Area of sector = 11.8 m² (Approx.)