Find the area of a sector with a central angle of 150° in a circle with a radius of 12 cm.

Correct option is D

Given:

- Central angle (θ) = 150°
- Radius (r) = 12 cm 

Formula Used:
Area of Sector = $$(\frac{θ }{ 360}) × πr²$$ 

Solution:
Substitute the values into the formula:
Area of Sector = $$(\frac{150 }{ 360}) × π × (12)²$$​​

Area of Sector = $$(\frac{150 }{360}) × π × 144$$ = 60 $$\pi$$​​
The area of the sector is approximately  60 $$\pi$$cm².