Question

The sector of a circle with a 12 inches radius has a central angle measure of 60°.

Answer 1

60(pi/180)=pi/3
.5(12^2)(pi/3)
72(pi/3)
24pi

Answer 2

Answer: $24\pi\text{inches}^2$

Step-by-step explanation:

The area of sector with central angle 'x' ( in degrees) and radius 'r' is given by :-

$\text{Area of sector}=\dfrac{x}{360}\times\pi r^2$

Then the area of sector with central angle $60^{\circ}$ and radius 12 inches is given by :-

$\text{Area of sector}=\dfrac{60}{360}\times\pi (12)^2\\\\\Rightarrow \text{Area of sector}=24\pi\text{inches}^2$