Question

Recall that Area of a sector =11x in.12x in.236, in 266 x in.2​

Answer 1

Answer:

$Area\ of\ a\ sector = 11\pi\ inches^{2}$

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 = $\frac{x}{360}\pi(r)^{2}$-------(1)

Where $x= central\ angle$

$r = radius$

Put radius and central angle value in equation 1.

area of the sector = $\frac{110}{360}\pi (6)^{2}$

area of the sector = $\frac{11}{36}\pi\times 36$

$Area\ of\ a\ sector = 11\pi\ inches^{2}$

Therefore, the area of the sector is $11\pi \ inches^{2}$