Answer: Area of sector in term of π is 24 in.².
Step-by-step explanation:
Since we have given that
Radius of the sector of a circle = 12 inch
Central angle = 60°
As we know the formula for "Area of sector":
[tex]Area=\frac{\theta}{360^\circ}\pi r^2\\\\Area=\frac{60}{360}\times \pi\times 12\times 12\\\\Area=24\pi\ inch^2[/tex]
Hence, Area of sector in term of π is 24 in.².
Answer:
The exact area of the sector in terms of π is [tex]24\pi \thinspace inches^2[/tex]
Step-by-step explanation:
Given the radius of circle 12-inch and the central angle measure of 60°.
We have to find the the exact area of the sector in terms of π.
As the area of sector can be calculated by the formula
[tex]A=\frac{\theta}{360^{\circ}}\times\pi r^2[/tex]
where [tex]\theta[/tex] is the central angle in degree and r is the radius of circle.
Now, [tex]A=\frac{60}{360^{\circ}}\times\pi (12)^2[/tex]
[tex]=\frac{1}{6}\times\pi (12)^2[/tex]
[tex]=24\pi \thinspace inches^2[/tex]
Hence, the exact area of the sector in terms of π is [tex]24\pi \thinspace inches^2[/tex]
