Question

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

What is the exact area of the sector in terms of ​ π ​ ?



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Answer 1

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

Answer 2

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

Explanation:

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

`\text{Area of sector}=(x)/(360)*\pi r^2`

Then the area of sector with central angle
`60^(\circ)` and radius 12 inches is given by :-

`\text{Area of sector}=(60)/(360)*\pi (12)^2\\\\\Rightarrow \text{Area of sector}=24\pi\text{inches}^2`