Answer:
[tex]Area\ of\ a\ sector = 11\pi\ inches^{2}[/tex]
Step-by-step explanation:
Given:
The radius of the circle is 6 inches.
And the central angle is 110 degree.
The area of the sector = [tex]\frac{x}{360}\pi(r)^{2}[/tex]-------(1)
Where [tex]x= central\ angle[/tex]
[tex]r = radius[/tex]
Put radius and central angle value in equation 1.
area of the sector = [tex]\frac{110}{360}\pi (6)^{2}[/tex]
area of the sector = [tex]\frac{11}{36}\pi\times 36[/tex]
[tex]Area\ of\ a\ sector = 11\pi\ inches^{2}[/tex]
Therefore, the area of the sector is [tex]11\pi \ inches^{2}[/tex]
