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 ​ ?

Answer 1

The answer would be 24pi

Answer 2

The exact area of the sector in terms of ​ π is:

24π in²

Explanation:

The area of a sector of a circle is given by:

`\pi r^2* (\theta)/(2\pi)`

where r is the radius of the circle and
`\theta` is the central angle of the sector

Here r=12 in.

and
`\theta`=60°

Area of sector=

`\pi 12^2* (60)/(2* 180)`

`\pi 12^2* (1)/(6)`

`24 \pi in^2`