Question

Recall that Area of a sector =
11x in.
12x in.2
36, in 2
66 x in.2​

Answer 1

`Area\ of\ a\ sector = 11\pi\ inches^(2)`

Explanation:

Given:

The radius of the circle is 6 inches.

And the central angle is 110 degree.

The area of the sector =
`(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 =
`(110)/(360)\pi (6)^(2)`

area of the sector =
`(11)/(36)\pi* 36`

`Area\ of\ a\ sector = 11\pi\ inches^(2)`

Therefore, the area of the sector is
`11\pi \ inches^(2)`